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Finding the Fourth Proportional to 784,944,015.30, 1,174,865,106.15 and 784,944,015.30

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Solution

The fourth proportional to 784,944,015.30, 1,174,865,106.15 and 784,944,015.30 is: 1,174,865,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,944,015.30 : 1,174,865,106.15 = 784,944,015.30 : x
  2. Step 2: Convert to fraction form
    784,944,015.30/1,174,865,106.15 = 784,944,015.30/x
  3. Step 3: Cross multiply
    784,944,015.30x = 1,174,865,106.15 × 784,944,015.30
  4. Step 4: Simplify right side
    784,944,015.30x = 922,203,333,857,241,728
  5. Step 5: Solve for x
    x = 922,203,333,857,241,728/784,944,015.30
  6. Step 6: Final answer
    x = 1,174,865,106.15

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Double scale
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1.5x scale

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.