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Finding the Fourth Proportional to 1,133,761,803.80, 1,700,642,705.70 and 859,648,472.60

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Solution

The fourth proportional to 1,133,761,803.80, 1,700,642,705.70 and 859,648,472.60 is: 1,289,472,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133,761,803.80 : 1,700,642,705.70 = 859,648,472.60 : x
  2. Step 2: Convert to fraction form
    1,133,761,803.80/1,700,642,705.70 = 859,648,472.60/x
  3. Step 3: Cross multiply
    1,133,761,803.80x = 1,700,642,705.70 × 859,648,472.60
  4. Step 4: Simplify right side
    1,133,761,803.80x = 1,461,954,904,393,336,320
  5. Step 5: Solve for x
    x = 1,461,954,904,393,336,320/1,133,761,803.80
  6. Step 6: Final answer
    x = 1,289,472,708.90

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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.