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Finding the Fourth Proportional to 144,260,382,230.40, 201,551,752,694.40 and 144,260,382,230.40

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Solution

The fourth proportional to 144,260,382,230.40, 201,551,752,694.40 and 144,260,382,230.40 is: 201,551,752,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,260,382,230.40 : 201,551,752,694.40 = 144,260,382,230.40 : x
  2. Step 2: Convert to fraction form
    144,260,382,230.40/201,551,752,694.40 = 144,260,382,230.40/x
  3. Step 3: Cross multiply
    144,260,382,230.40x = 201,551,752,694.40 × 144,260,382,230.40
  4. Step 4: Simplify right side
    144,260,382,230.40x = 29,075,932,882,901,196,079,104
  5. Step 5: Solve for x
    x = 29,075,932,882,901,196,079,104/144,260,382,230.40
  6. Step 6: Final answer
    x = 201,551,752,694.40

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1.5x scale

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.