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Finding the Fourth Proportional to 391,140,691,291.40, 586,711,036,937.10 and 391,140,691,291.40

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Solution

The fourth proportional to 391,140,691,291.40, 586,711,036,937.10 and 391,140,691,291.40 is: 586,711,036,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,140,691,291.40 : 586,711,036,937.10 = 391,140,691,291.40 : x
  2. Step 2: Convert to fraction form
    391,140,691,291.40/586,711,036,937.10 = 391,140,691,291.40/x
  3. Step 3: Cross multiply
    391,140,691,291.40x = 586,711,036,937.10 × 391,140,691,291.40
  4. Step 4: Simplify right side
    391,140,691,291.40x = 229,486,560,575,871,409,717,248
  5. Step 5: Solve for x
    x = 229,486,560,575,871,409,717,248/391,140,691,291.40
  6. Step 6: Final answer
    x = 586,711,036,937.10

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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.