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Finding the Fourth Proportional to 877,961,471.85, 1,316,814,016.03 and 256,009,574.16

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Solution

The fourth proportional to 877,961,471.85, 1,316,814,016.03 and 256,009,574.16 is: 383,976,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,961,471.85 : 1,316,814,016.03 = 256,009,574.16 : x
  2. Step 2: Convert to fraction form
    877,961,471.85/1,316,814,016.03 = 256,009,574.16/x
  3. Step 3: Cross multiply
    877,961,471.85x = 1,316,814,016.03 × 256,009,574.16
  4. Step 4: Simplify right side
    877,961,471.85x = 337,116,995,491,119,680
  5. Step 5: Solve for x
    x = 337,116,995,491,119,680/877,961,471.85
  6. Step 6: Final answer
    x = 383,976,981.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.