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Finding the Fourth Proportional to 316,613,454,046.80, 474,920,181,070.20 and 316,613,454,046.80

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Solution

The fourth proportional to 316,613,454,046.80, 474,920,181,070.20 and 316,613,454,046.80 is: 474,920,181,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,613,454,046.80 : 474,920,181,070.20 = 316,613,454,046.80 : x
  2. Step 2: Convert to fraction form
    316,613,454,046.80/474,920,181,070.20 = 316,613,454,046.80/x
  3. Step 3: Cross multiply
    316,613,454,046.80x = 474,920,181,070.20 × 316,613,454,046.80
  4. Step 4: Simplify right side
    316,613,454,046.80x = 150,366,118,925,167,694,446,592
  5. Step 5: Solve for x
    x = 150,366,118,925,167,694,446,592/316,613,454,046.80
  6. Step 6: Final answer
    x = 474,920,181,070.20

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1.5x scale

Why These Related Problems?

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