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Finding the Fourth Proportional to 542,881,454.40, 758,421,604.80 and 542,881,454.40

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Solution

The fourth proportional to 542,881,454.40, 758,421,604.80 and 542,881,454.40 is: 758,421,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,881,454.40 : 758,421,604.80 = 542,881,454.40 : x
  2. Step 2: Convert to fraction form
    542,881,454.40/758,421,604.80 = 542,881,454.40/x
  3. Step 3: Cross multiply
    542,881,454.40x = 758,421,604.80 × 542,881,454.40
  4. Step 4: Simplify right side
    542,881,454.40x = 411,733,023,862,205,952
  5. Step 5: Solve for x
    x = 411,733,023,862,205,952/542,881,454.40
  6. Step 6: Final answer
    x = 758,421,604.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.