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Finding the Fourth Proportional to 4,756,042,764,000.40, 7,134,064,146,000.40 and 4,756,042,764,000.40

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Solution

The fourth proportional to 4,756,042,764,000.40, 7,134,064,146,000.40 and 4,756,042,764,000.40 is: 7,134,064,146,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756,042,764,000.40 : 7,134,064,146,000.40 = 4,756,042,764,000.40 : x
  2. Step 2: Convert to fraction form
    4,756,042,764,000.40/7,134,064,146,000.40 = 4,756,042,764,000.40/x
  3. Step 3: Cross multiply
    4,756,042,764,000.40x = 7,134,064,146,000.40 × 4,756,042,764,000.40
  4. Step 4: Simplify right side
    4,756,042,764,000.40x = 33,929,914,159,499,901,478,633,472
  5. Step 5: Solve for x
    x = 33,929,914,159,499,901,478,633,472/4,756,042,764,000.40
  6. Step 6: Final answer
    x = 7,134,064,146,000.40

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