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Finding the Fourth Proportional to 765,963,941.12, 1,149,107,324.16 and 248,354,019.84

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Solution

The fourth proportional to 765,963,941.12, 1,149,107,324.16 and 248,354,019.84 is: 372,583,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,963,941.12 : 1,149,107,324.16 = 248,354,019.84 : x
  2. Step 2: Convert to fraction form
    765,963,941.12/1,149,107,324.16 = 248,354,019.84/x
  3. Step 3: Cross multiply
    765,963,941.12x = 1,149,107,324.16 × 248,354,019.84
  4. Step 4: Simplify right side
    765,963,941.12x = 285,385,423,182,721,984
  5. Step 5: Solve for x
    x = 285,385,423,182,721,984/765,963,941.12
  6. Step 6: Final answer
    x = 372,583,365.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.