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Finding the Fourth Proportional to 417,314,592,065.20, 625,971,888,097.80 and 417,314,592,065.20

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Solution

The fourth proportional to 417,314,592,065.20, 625,971,888,097.80 and 417,314,592,065.20 is: 625,971,888,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,314,592,065.20 : 625,971,888,097.80 = 417,314,592,065.20 : x
  2. Step 2: Convert to fraction form
    417,314,592,065.20/625,971,888,097.80 = 417,314,592,065.20/x
  3. Step 3: Cross multiply
    417,314,592,065.20x = 625,971,888,097.80 × 417,314,592,065.20
  4. Step 4: Simplify right side
    417,314,592,065.20x = 261,227,203,125,816,466,604,032
  5. Step 5: Solve for x
    x = 261,227,203,125,816,466,604,032/417,314,592,065.20
  6. Step 6: Final answer
    x = 625,971,888,097.80

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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.