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Finding the Fourth Proportional to 415,864,577.70, 623,796,866.55 and 109,187,691.30

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Solution

The fourth proportional to 415,864,577.70, 623,796,866.55 and 109,187,691.30 is: 163,781,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,864,577.70 : 623,796,866.55 = 109,187,691.30 : x
  2. Step 2: Convert to fraction form
    415,864,577.70/623,796,866.55 = 109,187,691.30/x
  3. Step 3: Cross multiply
    415,864,577.70x = 623,796,866.55 × 109,187,691.30
  4. Step 4: Simplify right side
    415,864,577.70x = 68,110,939,698,768,688
  5. Step 5: Solve for x
    x = 68,110,939,698,768,688/415,864,577.70
  6. Step 6: Final answer
    x = 163,781,536.95

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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.