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Finding the Fourth Proportional to 408,859,803.90, 613,289,705.85 and 368,045,135.10

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Solution

The fourth proportional to 408,859,803.90, 613,289,705.85 and 368,045,135.10 is: 552,067,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,859,803.90 : 613,289,705.85 = 368,045,135.10 : x
  2. Step 2: Convert to fraction form
    408,859,803.90/613,289,705.85 = 368,045,135.10/x
  3. Step 3: Cross multiply
    408,859,803.90x = 613,289,705.85 × 368,045,135.10
  4. Step 4: Simplify right side
    408,859,803.90x = 225,718,292,645,002,528
  5. Step 5: Solve for x
    x = 225,718,292,645,002,528/408,859,803.90
  6. Step 6: Final answer
    x = 552,067,702.65

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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.