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Finding the Fourth Proportional to 334,681,869.90, 502,022,804.85 and 334,681,869.90

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Solution

The fourth proportional to 334,681,869.90, 502,022,804.85 and 334,681,869.90 is: 502,022,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,681,869.90 : 502,022,804.85 = 334,681,869.90 : x
  2. Step 2: Convert to fraction form
    334,681,869.90/502,022,804.85 = 334,681,869.90/x
  3. Step 3: Cross multiply
    334,681,869.90x = 502,022,804.85 × 334,681,869.90
  4. Step 4: Simplify right side
    334,681,869.90x = 168,017,931,059,640,800
  5. Step 5: Solve for x
    x = 168,017,931,059,640,800/334,681,869.90
  6. Step 6: Final answer
    x = 502,022,804.85

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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.