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Finding the Fourth Proportional to 34,140,266.40, 47,875,999.20 and 34,140,266.40

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Solution

The fourth proportional to 34,140,266.40, 47,875,999.20 and 34,140,266.40 is: 47,875,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,140,266.40 : 47,875,999.20 = 34,140,266.40 : x
  2. Step 2: Convert to fraction form
    34,140,266.40/47,875,999.20 = 34,140,266.40/x
  3. Step 3: Cross multiply
    34,140,266.40x = 47,875,999.20 × 34,140,266.40
  4. Step 4: Simplify right side
    34,140,266.40x = 1,634,499,366,854,187
  5. Step 5: Solve for x
    x = 1,634,499,366,854,187/34,140,266.40
  6. Step 6: Final answer
    x = 47,875,999.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.