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Finding the Fourth Proportional to 240,084,046.40, 337,024,657.60 and 240,084,046.40

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Solution

The fourth proportional to 240,084,046.40, 337,024,657.60 and 240,084,046.40 is: 337,024,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,084,046.40 : 337,024,657.60 = 240,084,046.40 : x
  2. Step 2: Convert to fraction form
    240,084,046.40/337,024,657.60 = 240,084,046.40/x
  3. Step 3: Cross multiply
    240,084,046.40x = 337,024,657.60 × 240,084,046.40
  4. Step 4: Simplify right side
    240,084,046.40x = 80,914,243,533,182,528
  5. Step 5: Solve for x
    x = 80,914,243,533,182,528/240,084,046.40
  6. Step 6: Final answer
    x = 337,024,657.60

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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.