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Finding the Fourth Proportional to 1,004,025,600.45, 1,506,038,400.68 and 1,004,025,600.45

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Solution

The fourth proportional to 1,004,025,600.45, 1,506,038,400.68 and 1,004,025,600.45 is: 1,506,038,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,025,600.45 : 1,506,038,400.68 = 1,004,025,600.45 : x
  2. Step 2: Convert to fraction form
    1,004,025,600.45/1,506,038,400.68 = 1,004,025,600.45/x
  3. Step 3: Cross multiply
    1,004,025,600.45x = 1,506,038,400.68 × 1,004,025,600.45
  4. Step 4: Simplify right side
    1,004,025,600.45x = 1,512,101,109,538,474,496
  5. Step 5: Solve for x
    x = 1,512,101,109,538,474,496/1,004,025,600.45
  6. Step 6: Final answer
    x = 1,506,038,400.68

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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.