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Finding the Fourth Proportional to 302,363,168.40, 417,261,061.80 and 165,007,904.40

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Solution

The fourth proportional to 302,363,168.40, 417,261,061.80 and 165,007,904.40 is: 227,710,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,363,168.40 : 417,261,061.80 = 165,007,904.40 : x
  2. Step 2: Convert to fraction form
    302,363,168.40/417,261,061.80 = 165,007,904.40/x
  3. Step 3: Cross multiply
    302,363,168.40x = 417,261,061.80 × 165,007,904.40
  4. Step 4: Simplify right side
    302,363,168.40x = 68,851,373,395,336,896
  5. Step 5: Solve for x
    x = 68,851,373,395,336,896/302,363,168.40
  6. Step 6: Final answer
    x = 227,710,847.72

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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.