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Finding the Fourth Proportional to 316,613,454,025.80, 474,920,181,038.70 and 316,613,454,025.80

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Solution

The fourth proportional to 316,613,454,025.80, 474,920,181,038.70 and 316,613,454,025.80 is: 474,920,181,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,613,454,025.80 : 474,920,181,038.70 = 316,613,454,025.80 : x
  2. Step 2: Convert to fraction form
    316,613,454,025.80/474,920,181,038.70 = 316,613,454,025.80/x
  3. Step 3: Cross multiply
    316,613,454,025.80x = 474,920,181,038.70 × 316,613,454,025.80
  4. Step 4: Simplify right side
    316,613,454,025.80x = 150,366,118,905,221,061,017,600
  5. Step 5: Solve for x
    x = 150,366,118,905,221,061,017,600/316,613,454,025.80
  6. Step 6: Final answer
    x = 474,920,181,038.70

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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.