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Finding the Fourth Proportional to 465,442,670,814.70, 698,164,006,222.05 and 465,442,670,814.70

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Solution

The fourth proportional to 465,442,670,814.70, 698,164,006,222.05 and 465,442,670,814.70 is: 698,164,006,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,442,670,814.70 : 698,164,006,222.05 = 465,442,670,814.70 : x
  2. Step 2: Convert to fraction form
    465,442,670,814.70/698,164,006,222.05 = 465,442,670,814.70/x
  3. Step 3: Cross multiply
    465,442,670,814.70x = 698,164,006,222.05 × 465,442,670,814.70
  4. Step 4: Simplify right side
    465,442,670,814.70x = 324,955,319,722,681,802,162,176
  5. Step 5: Solve for x
    x = 324,955,319,722,681,802,162,176/465,442,670,814.70
  6. Step 6: Final answer
    x = 698,164,006,222.05

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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.