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Finding the Fourth Proportional to 1,810,972,937.10, 2,716,459,405.65 and 1,810,972,937.10

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Solution

The fourth proportional to 1,810,972,937.10, 2,716,459,405.65 and 1,810,972,937.10 is: 2,716,459,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810,972,937.10 : 2,716,459,405.65 = 1,810,972,937.10 : x
  2. Step 2: Convert to fraction form
    1,810,972,937.10/2,716,459,405.65 = 1,810,972,937.10/x
  3. Step 3: Cross multiply
    1,810,972,937.10x = 2,716,459,405.65 × 1,810,972,937.10
  4. Step 4: Simplify right side
    1,810,972,937.10x = 4,919,434,468,362,900,480
  5. Step 5: Solve for x
    x = 4,919,434,468,362,900,480/1,810,972,937.10
  6. Step 6: Final answer
    x = 2,716,459,405.65

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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.