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Finding the Fourth Proportional to 290,580,129,308.70, 435,870,193,963.05 and 290,580,129,308.70

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Solution

The fourth proportional to 290,580,129,308.70, 435,870,193,963.05 and 290,580,129,308.70 is: 435,870,193,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,580,129,308.70 : 435,870,193,963.05 = 290,580,129,308.70 : x
  2. Step 2: Convert to fraction form
    290,580,129,308.70/435,870,193,963.05 = 290,580,129,308.70/x
  3. Step 3: Cross multiply
    290,580,129,308.70x = 435,870,193,963.05 × 290,580,129,308.70
  4. Step 4: Simplify right side
    290,580,129,308.70x = 126,655,217,323,591,226,884,096
  5. Step 5: Solve for x
    x = 126,655,217,323,591,226,884,096/290,580,129,308.70
  6. Step 6: Final answer
    x = 435,870,193,963.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.