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Finding the Fourth Proportional to 477,375,762.97, 716,063,842.95 and 214,753,561.57

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Solution

The fourth proportional to 477,375,762.97, 716,063,842.95 and 214,753,561.57 is: 322,130,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,375,762.97 : 716,063,842.95 = 214,753,561.57 : x
  2. Step 2: Convert to fraction form
    477,375,762.97/716,063,842.95 = 214,753,561.57/x
  3. Step 3: Cross multiply
    477,375,762.97x = 716,063,842.95 × 214,753,561.57
  4. Step 4: Simplify right side
    477,375,762.97x = 153,777,260,585,013,632
  5. Step 5: Solve for x
    x = 153,777,260,585,013,632/477,375,762.97
  6. Step 6: Final answer
    x = 322,130,431.65

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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.