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Finding the Fourth Proportional to 135,364,515, 186,803,263.98 and 77,417,763

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Solution

The fourth proportional to 135,364,515, 186,803,263.98 and 77,417,763 is: 106,836,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,364,515 : 186,803,263.98 = 77,417,763 : x
  2. Step 2: Convert to fraction form
    135,364,515/186,803,263.98 = 77,417,763/x
  3. Step 3: Cross multiply
    135,364,515x = 186,803,263.98 × 77,417,763
  4. Step 4: Simplify right side
    135,364,515x = 14,461,890,818,430,076
  5. Step 5: Solve for x
    x = 14,461,890,818,430,076/135,364,515
  6. Step 6: Final answer
    x = 106,836,646.36

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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.