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Finding the Fourth Proportional to 135,364,514, 186,803,262.60 and 77,417,762

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Solution

The fourth proportional to 135,364,514, 186,803,262.60 and 77,417,762 is: 106,836,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,364,514 : 186,803,262.60 = 77,417,762 : x
  2. Step 2: Convert to fraction form
    135,364,514/186,803,262.60 = 77,417,762/x
  3. Step 3: Cross multiply
    135,364,514x = 186,803,262.60 × 77,417,762
  4. Step 4: Simplify right side
    135,364,514x = 14,461,890,524,790,300
  5. Step 5: Solve for x
    x = 14,461,890,524,790,300/135,364,514
  6. Step 6: Final answer
    x = 106,836,644.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.