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Finding the Fourth Proportional to 469,243,953.10, 658,302,023.30 and 469,243,953.10

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Solution

The fourth proportional to 469,243,953.10, 658,302,023.30 and 469,243,953.10 is: 658,302,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,243,953.10 : 658,302,023.30 = 469,243,953.10 : x
  2. Step 2: Convert to fraction form
    469,243,953.10/658,302,023.30 = 469,243,953.10/x
  3. Step 3: Cross multiply
    469,243,953.10x = 658,302,023.30 × 469,243,953.10
  4. Step 4: Simplify right side
    469,243,953.10x = 308,904,243,747,020,288
  5. Step 5: Solve for x
    x = 308,904,243,747,020,288/469,243,953.10
  6. Step 6: Final answer
    x = 658,302,023.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.