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Finding the Fourth Proportional to 653,486,198.70, 917,176,503.30 and 653,486,198.70

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Solution

The fourth proportional to 653,486,198.70, 917,176,503.30 and 653,486,198.70 is: 917,176,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,486,198.70 : 917,176,503.30 = 653,486,198.70 : x
  2. Step 2: Convert to fraction form
    653,486,198.70/917,176,503.30 = 653,486,198.70/x
  3. Step 3: Cross multiply
    653,486,198.70x = 917,176,503.30 × 653,486,198.70
  4. Step 4: Simplify right side
    653,486,198.70x = 599,362,186,678,475,008
  5. Step 5: Solve for x
    x = 599,362,186,678,475,008/653,486,198.70
  6. Step 6: Final answer
    x = 917,176,503.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.