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Finding the Fourth Proportional to 1,010,398,980.45, 1,515,598,470.68 and 1,010,398,980.45

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Solution

The fourth proportional to 1,010,398,980.45, 1,515,598,470.68 and 1,010,398,980.45 is: 1,515,598,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,398,980.45 : 1,515,598,470.68 = 1,010,398,980.45 : x
  2. Step 2: Convert to fraction form
    1,010,398,980.45/1,515,598,470.68 = 1,010,398,980.45/x
  3. Step 3: Cross multiply
    1,010,398,980.45x = 1,515,598,470.68 × 1,010,398,980.45
  4. Step 4: Simplify right side
    1,010,398,980.45x = 1,531,359,149,546,651,392
  5. Step 5: Solve for x
    x = 1,531,359,149,546,651,392/1,010,398,980.45
  6. Step 6: Final answer
    x = 1,515,598,470.68

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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.