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Finding the Fourth Proportional to 563,855,182.88, 846,613,034.85 and 315,347,323.82

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Solution

The fourth proportional to 563,855,182.88, 846,613,034.85 and 315,347,323.82 is: 473,485,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,855,182.88 : 846,613,034.85 = 315,347,323.82 : x
  2. Step 2: Convert to fraction form
    563,855,182.88/846,613,034.85 = 315,347,323.82/x
  3. Step 3: Cross multiply
    563,855,182.88x = 846,613,034.85 × 315,347,323.82
  4. Step 4: Simplify right side
    563,855,182.88x = 266,977,154,845,266,112
  5. Step 5: Solve for x
    x = 266,977,154,845,266,112/563,855,182.88
  6. Step 6: Final answer
    x = 473,485,325.58

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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.