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Finding the Fourth Proportional to 4,756,042,691,567, 7,134,064,037,350.40 and 4,756,042,691,567

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Solution

The fourth proportional to 4,756,042,691,567, 7,134,064,037,350.40 and 4,756,042,691,567 is: 7,134,064,037,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756,042,691,567 : 7,134,064,037,350.40 = 4,756,042,691,567 : x
  2. Step 2: Convert to fraction form
    4,756,042,691,567/7,134,064,037,350.40 = 4,756,042,691,567/x
  3. Step 3: Cross multiply
    4,756,042,691,567x = 7,134,064,037,350.40 × 4,756,042,691,567
  4. Step 4: Simplify right side
    4,756,042,691,567x = 33,929,913,126,011,335,610,466,304
  5. Step 5: Solve for x
    x = 33,929,913,126,011,335,610,466,304/4,756,042,691,567
  6. Step 6: Final answer
    x = 7,134,064,037,350.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.