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Finding the Fourth Proportional to 749,881,940.40, 1,047,251,913.30 and 749,881,940.40

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Solution

The fourth proportional to 749,881,940.40, 1,047,251,913.30 and 749,881,940.40 is: 1,047,251,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,881,940.40 : 1,047,251,913.30 = 749,881,940.40 : x
  2. Step 2: Convert to fraction form
    749,881,940.40/1,047,251,913.30 = 749,881,940.40/x
  3. Step 3: Cross multiply
    749,881,940.40x = 1,047,251,913.30 × 749,881,940.40
  4. Step 4: Simplify right side
    749,881,940.40x = 785,315,296,833,016,448
  5. Step 5: Solve for x
    x = 785,315,296,833,016,448/749,881,940.40
  6. Step 6: Final answer
    x = 1,047,251,913.30

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Why These Related Problems?

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