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Finding the Fourth Proportional to 1,164,289,969.70, 1,746,434,954.55 and 1,164,289,969.70

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Solution

The fourth proportional to 1,164,289,969.70, 1,746,434,954.55 and 1,164,289,969.70 is: 1,746,434,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,289,969.70 : 1,746,434,954.55 = 1,164,289,969.70 : x
  2. Step 2: Convert to fraction form
    1,164,289,969.70/1,746,434,954.55 = 1,164,289,969.70/x
  3. Step 3: Cross multiply
    1,164,289,969.70x = 1,746,434,954.55 × 1,164,289,969.70
  4. Step 4: Simplify right side
    1,164,289,969.70x = 2,033,356,700,316,040,448
  5. Step 5: Solve for x
    x = 2,033,356,700,316,040,448/1,164,289,969.70
  6. Step 6: Final answer
    x = 1,746,434,954.55

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Double scale
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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.