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Finding the Fourth Proportional to 334,681,918.40, 502,022,877.60 and 334,681,918.40

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Solution

The fourth proportional to 334,681,918.40, 502,022,877.60 and 334,681,918.40 is: 502,022,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,681,918.40 : 502,022,877.60 = 334,681,918.40 : x
  2. Step 2: Convert to fraction form
    334,681,918.40/502,022,877.60 = 334,681,918.40/x
  3. Step 3: Cross multiply
    334,681,918.40x = 502,022,877.60 × 334,681,918.40
  4. Step 4: Simplify right side
    334,681,918.40x = 168,017,979,755,856,384
  5. Step 5: Solve for x
    x = 168,017,979,755,856,384/334,681,918.40
  6. Step 6: Final answer
    x = 502,022,877.60

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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.