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Finding the Fourth Proportional to 908,782,829.10, 1,363,174,243.65 and 908,782,829.10

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Solution

The fourth proportional to 908,782,829.10, 1,363,174,243.65 and 908,782,829.10 is: 1,363,174,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,782,829.10 : 1,363,174,243.65 = 908,782,829.10 : x
  2. Step 2: Convert to fraction form
    908,782,829.10/1,363,174,243.65 = 908,782,829.10/x
  3. Step 3: Cross multiply
    908,782,829.10x = 1,363,174,243.65 × 908,782,829.10
  4. Step 4: Simplify right side
    908,782,829.10x = 1,238,829,345,700,499,712
  5. Step 5: Solve for x
    x = 1,238,829,345,700,499,712/908,782,829.10
  6. Step 6: Final answer
    x = 1,363,174,243.65

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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.