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Finding the Fourth Proportional to 1,440,750,971.92, 1,988,016,470.60 and 813,990,714.32

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Solution

The fourth proportional to 1,440,750,971.92, 1,988,016,470.60 and 813,990,714.32 is: 1,123,182,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,750,971.92 : 1,988,016,470.60 = 813,990,714.32 : x
  2. Step 2: Convert to fraction form
    1,440,750,971.92/1,988,016,470.60 = 813,990,714.32/x
  3. Step 3: Cross multiply
    1,440,750,971.92x = 1,988,016,470.60 × 813,990,714.32
  4. Step 4: Simplify right side
    1,440,750,971.92x = 1,618,226,946,983,619,328
  5. Step 5: Solve for x
    x = 1,618,226,946,983,619,328/1,440,750,971.92
  6. Step 6: Final answer
    x = 1,123,182,963.97

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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.