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Finding the Fourth Proportional to 1,207,224,007.80, 1,810,836,011.70 and 1,207,224,007.80

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Solution

The fourth proportional to 1,207,224,007.80, 1,810,836,011.70 and 1,207,224,007.80 is: 1,810,836,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,224,007.80 : 1,810,836,011.70 = 1,207,224,007.80 : x
  2. Step 2: Convert to fraction form
    1,207,224,007.80/1,810,836,011.70 = 1,207,224,007.80/x
  3. Step 3: Cross multiply
    1,207,224,007.80x = 1,810,836,011.70 × 1,207,224,007.80
  4. Step 4: Simplify right side
    1,207,224,007.80x = 2,186,084,707,513,041,664
  5. Step 5: Solve for x
    x = 2,186,084,707,513,041,664/1,207,224,007.80
  6. Step 6: Final answer
    x = 1,810,836,011.70

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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.