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Finding the Fourth Proportional to 410,181,689.64, 566,050,689.54 and 222,009,950.76

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Solution

The fourth proportional to 410,181,689.64, 566,050,689.54 and 222,009,950.76 is: 306,373,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,181,689.64 : 566,050,689.54 = 222,009,950.76 : x
  2. Step 2: Convert to fraction form
    410,181,689.64/566,050,689.54 = 222,009,950.76/x
  3. Step 3: Cross multiply
    410,181,689.64x = 566,050,689.54 × 222,009,950.76
  4. Step 4: Simplify right side
    410,181,689.64x = 125,668,885,712,439,440
  5. Step 5: Solve for x
    x = 125,668,885,712,439,440/410,181,689.64
  6. Step 6: Final answer
    x = 306,373,709.23

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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.