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Finding the Fourth Proportional to 864,986,496.64, 1,193,711,200.32 and 473,845,955.20

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Solution

The fourth proportional to 864,986,496.64, 1,193,711,200.32 and 473,845,955.20 is: 653,923,761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,986,496.64 : 1,193,711,200.32 = 473,845,955.20 : x
  2. Step 2: Convert to fraction form
    864,986,496.64/1,193,711,200.32 = 473,845,955.20/x
  3. Step 3: Cross multiply
    864,986,496.64x = 1,193,711,200.32 × 473,845,955.20
  4. Step 4: Simplify right side
    864,986,496.64x = 565,635,223,948,568,896
  5. Step 5: Solve for x
    x = 565,635,223,948,568,896/864,986,496.64
  6. Step 6: Final answer
    x = 653,923,761.98

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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.