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Finding the Fourth Proportional to 417,314,592,063.20, 625,971,888,094.80 and 417,314,592,063.20

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Solution

The fourth proportional to 417,314,592,063.20, 625,971,888,094.80 and 417,314,592,063.20 is: 625,971,888,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,314,592,063.20 : 625,971,888,094.80 = 417,314,592,063.20 : x
  2. Step 2: Convert to fraction form
    417,314,592,063.20/625,971,888,094.80 = 417,314,592,063.20/x
  3. Step 3: Cross multiply
    417,314,592,063.20x = 625,971,888,094.80 × 417,314,592,063.20
  4. Step 4: Simplify right side
    417,314,592,063.20x = 261,227,203,123,312,567,779,328
  5. Step 5: Solve for x
    x = 261,227,203,123,312,567,779,328/417,314,592,063.20
  6. Step 6: Final answer
    x = 625,971,888,094.80

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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.