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Finding the Fourth Proportional to 391,142,165,641.65, 586,713,248,462.68 and 391,142,165,641.65

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Solution

The fourth proportional to 391,142,165,641.65, 586,713,248,462.68 and 391,142,165,641.65 is: 586,713,248,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,142,165,641.65 : 586,713,248,462.68 = 391,142,165,641.65 : x
  2. Step 2: Convert to fraction form
    391,142,165,641.65/586,713,248,462.68 = 391,142,165,641.65/x
  3. Step 3: Cross multiply
    391,142,165,641.65x = 586,713,248,462.68 × 391,142,165,641.65
  4. Step 4: Simplify right side
    391,142,165,641.65x = 229,488,290,614,340,166,352,896
  5. Step 5: Solve for x
    x = 229,488,290,614,340,166,352,896/391,142,165,641.65
  6. Step 6: Final answer
    x = 586,713,248,462.68

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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.