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Finding the Fourth Proportional to 500,510,232.10, 750,765,348.15 and 500,510,232.10

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Solution

The fourth proportional to 500,510,232.10, 750,765,348.15 and 500,510,232.10 is: 750,765,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,510,232.10 : 750,765,348.15 = 500,510,232.10 : x
  2. Step 2: Convert to fraction form
    500,510,232.10/750,765,348.15 = 500,510,232.10/x
  3. Step 3: Cross multiply
    500,510,232.10x = 750,765,348.15 × 500,510,232.10
  4. Step 4: Simplify right side
    500,510,232.10x = 375,765,738,655,193,792
  5. Step 5: Solve for x
    x = 375,765,738,655,193,792/500,510,232.10
  6. Step 6: Final answer
    x = 750,765,348.15

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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.