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Finding the Fourth Proportional to 417,314,592,064.20, 625,971,888,096.30 and 417,314,592,064.20

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Solution

The fourth proportional to 417,314,592,064.20, 625,971,888,096.30 and 417,314,592,064.20 is: 625,971,888,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,314,592,064.20 : 625,971,888,096.30 = 417,314,592,064.20 : x
  2. Step 2: Convert to fraction form
    417,314,592,064.20/625,971,888,096.30 = 417,314,592,064.20/x
  3. Step 3: Cross multiply
    417,314,592,064.20x = 625,971,888,096.30 × 417,314,592,064.20
  4. Step 4: Simplify right side
    417,314,592,064.20x = 261,227,203,124,564,517,191,680
  5. Step 5: Solve for x
    x = 261,227,203,124,564,517,191,680/417,314,592,064.20
  6. Step 6: Final answer
    x = 625,971,888,096.30

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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.