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Finding the Fourth Proportional to 514,052,484.16, 709,976,503.74 and 346,499,765.68

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Solution

The fourth proportional to 514,052,484.16, 709,976,503.74 and 346,499,765.68 is: 478,563,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,052,484.16 : 709,976,503.74 = 346,499,765.68 : x
  2. Step 2: Convert to fraction form
    514,052,484.16/709,976,503.74 = 346,499,765.68/x
  3. Step 3: Cross multiply
    514,052,484.16x = 709,976,503.74 × 346,499,765.68
  4. Step 4: Simplify right side
    514,052,484.16x = 246,006,692,184,215,648
  5. Step 5: Solve for x
    x = 246,006,692,184,215,648/514,052,484.16
  6. Step 6: Final answer
    x = 478,563,375.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.