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Finding the Fourth Proportional to 404,732,270.40, 607,098,405.60 and 404,732,270.40

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Solution

The fourth proportional to 404,732,270.40, 607,098,405.60 and 404,732,270.40 is: 607,098,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,732,270.40 : 607,098,405.60 = 404,732,270.40 : x
  2. Step 2: Convert to fraction form
    404,732,270.40/607,098,405.60 = 404,732,270.40/x
  3. Step 3: Cross multiply
    404,732,270.40x = 607,098,405.60 × 404,732,270.40
  4. Step 4: Simplify right side
    404,732,270.40x = 245,712,316,054,708,064
  5. Step 5: Solve for x
    x = 245,712,316,054,708,064/404,732,270.40
  6. Step 6: Final answer
    x = 607,098,405.60

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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.