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Finding the Fourth Proportional to 560,486,205.45, 840,729,308.18 and 560,486,205.45

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Solution

The fourth proportional to 560,486,205.45, 840,729,308.18 and 560,486,205.45 is: 840,729,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,486,205.45 : 840,729,308.18 = 560,486,205.45 : x
  2. Step 2: Convert to fraction form
    560,486,205.45/840,729,308.18 = 560,486,205.45/x
  3. Step 3: Cross multiply
    560,486,205.45x = 840,729,308.18 × 560,486,205.45
  4. Step 4: Simplify right side
    560,486,205.45x = 471,217,179,749,609,408
  5. Step 5: Solve for x
    x = 471,217,179,749,609,408/560,486,205.45
  6. Step 6: Final answer
    x = 840,729,308.18

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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.