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Finding the Fourth Proportional to 356,662,408.60, 534,993,612.90 and 314,572,281.40

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Solution

The fourth proportional to 356,662,408.60, 534,993,612.90 and 314,572,281.40 is: 471,858,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,662,408.60 : 534,993,612.90 = 314,572,281.40 : x
  2. Step 2: Convert to fraction form
    356,662,408.60/534,993,612.90 = 314,572,281.40/x
  3. Step 3: Cross multiply
    356,662,408.60x = 534,993,612.90 × 314,572,281.40
  4. Step 4: Simplify right side
    356,662,408.60x = 168,294,161,344,381,440
  5. Step 5: Solve for x
    x = 168,294,161,344,381,440/356,662,408.60
  6. Step 6: Final answer
    x = 471,858,422.10

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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.