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Finding the Fourth Proportional to 426,492,023.80, 638,604,294.90 and 426,492,023.80

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Solution

The fourth proportional to 426,492,023.80, 638,604,294.90 and 426,492,023.80 is: 638,604,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,492,023.80 : 638,604,294.90 = 426,492,023.80 : x
  2. Step 2: Convert to fraction form
    426,492,023.80/638,604,294.90 = 426,492,023.80/x
  3. Step 3: Cross multiply
    426,492,023.80x = 638,604,294.90 × 426,492,023.80
  4. Step 4: Simplify right side
    426,492,023.80x = 272,359,638,139,273,024
  5. Step 5: Solve for x
    x = 272,359,638,139,273,024/426,492,023.80
  6. Step 6: Final answer
    x = 638,604,294.90

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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.