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Finding the Fourth Proportional to 865,754,308.83, 1,194,708,938.58 and 469,268,785.74

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Solution

The fourth proportional to 865,754,308.83, 1,194,708,938.58 and 469,268,785.74 is: 647,573,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,754,308.83 : 1,194,708,938.58 = 469,268,785.74 : x
  2. Step 2: Convert to fraction form
    865,754,308.83/1,194,708,938.58 = 469,268,785.74/x
  3. Step 3: Cross multiply
    865,754,308.83x = 1,194,708,938.58 × 469,268,785.74
  4. Step 4: Simplify right side
    865,754,308.83x = 560,639,612,918,412,736
  5. Step 5: Solve for x
    x = 560,639,612,918,412,736/865,754,308.83
  6. Step 6: Final answer
    x = 647,573,575.09

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1.5x scale

Why These Related Problems?

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