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Finding the Fourth Proportional to 391,146,048,201.60, 586,719,072,302.40 and 391,146,048,201.60

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Solution

The fourth proportional to 391,146,048,201.60, 586,719,072,302.40 and 391,146,048,201.60 is: 586,719,072,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,146,048,201.60 : 586,719,072,302.40 = 391,146,048,201.60 : x
  2. Step 2: Convert to fraction form
    391,146,048,201.60/586,719,072,302.40 = 391,146,048,201.60/x
  3. Step 3: Cross multiply
    391,146,048,201.60x = 586,719,072,302.40 × 391,146,048,201.60
  4. Step 4: Simplify right side
    391,146,048,201.60x = 229,492,846,535,592,567,111,680
  5. Step 5: Solve for x
    x = 229,492,846,535,592,567,111,680/391,146,048,201.60
  6. Step 6: Final answer
    x = 586,719,072,302.40

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