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Finding the Fourth Proportional to 864,054,689.50, 1,192,015,490.89 and 506,640,031.86

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Solution

The fourth proportional to 864,054,689.50, 1,192,015,490.89 and 506,640,031.86 is: 698,940,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,054,689.50 : 1,192,015,490.89 = 506,640,031.86 : x
  2. Step 2: Convert to fraction form
    864,054,689.50/1,192,015,490.89 = 506,640,031.86/x
  3. Step 3: Cross multiply
    864,054,689.50x = 1,192,015,490.89 × 506,640,031.86
  4. Step 4: Simplify right side
    864,054,689.50x = 603,922,766,282,123,264
  5. Step 5: Solve for x
    x = 603,922,766,282,123,264/864,054,689.50
  6. Step 6: Final answer
    x = 698,940,441.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.