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Finding the Fourth Proportional to 869,807,481.90, 1,200,334,502.61 and 478,666,905.90

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Solution

The fourth proportional to 869,807,481.90, 1,200,334,502.61 and 478,666,905.90 is: 660,560,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,807,481.90 : 1,200,334,502.61 = 478,666,905.90 : x
  2. Step 2: Convert to fraction form
    869,807,481.90/1,200,334,502.61 = 478,666,905.90/x
  3. Step 3: Cross multiply
    869,807,481.90x = 1,200,334,502.61 × 478,666,905.90
  4. Step 4: Simplify right side
    869,807,481.90x = 574,560,402,409,344,064
  5. Step 5: Solve for x
    x = 574,560,402,409,344,064/869,807,481.90
  6. Step 6: Final answer
    x = 660,560,427.87

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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.