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Finding the Fourth Proportional to 391,145,764,523.20, 586,718,646,784.80 and 391,145,764,523.20

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Solution

The fourth proportional to 391,145,764,523.20, 586,718,646,784.80 and 391,145,764,523.20 is: 586,718,646,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,145,764,523.20 : 586,718,646,784.80 = 391,145,764,523.20 : x
  2. Step 2: Convert to fraction form
    391,145,764,523.20/586,718,646,784.80 = 391,145,764,523.20/x
  3. Step 3: Cross multiply
    391,145,764,523.20x = 586,718,646,784.80 × 391,145,764,523.20
  4. Step 4: Simplify right side
    391,145,764,523.20x = 229,492,513,656,657,967,841,280
  5. Step 5: Solve for x
    x = 229,492,513,656,657,967,841,280/391,145,764,523.20
  6. Step 6: Final answer
    x = 586,718,646,784.80

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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.