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Finding the Fourth Proportional to 316,897,684.80, 475,346,527.20 and 144,710,800.80

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Solution

The fourth proportional to 316,897,684.80, 475,346,527.20 and 144,710,800.80 is: 217,066,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,897,684.80 : 475,346,527.20 = 144,710,800.80 : x
  2. Step 2: Convert to fraction form
    316,897,684.80/475,346,527.20 = 144,710,800.80/x
  3. Step 3: Cross multiply
    316,897,684.80x = 475,346,527.20 × 144,710,800.80
  4. Step 4: Simplify right side
    316,897,684.80x = 68,787,776,608,610,984
  5. Step 5: Solve for x
    x = 68,787,776,608,610,984/316,897,684.80
  6. Step 6: Final answer
    x = 217,066,201.20

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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.