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Finding the Fourth Proportional to 1,685,767,217.24, 2,528,650,825.86 and 1,685,767,217.24

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Solution

The fourth proportional to 1,685,767,217.24, 2,528,650,825.86 and 1,685,767,217.24 is: 2,528,650,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,767,217.24 : 2,528,650,825.86 = 1,685,767,217.24 : x
  2. Step 2: Convert to fraction form
    1,685,767,217.24/2,528,650,825.86 = 1,685,767,217.24/x
  3. Step 3: Cross multiply
    1,685,767,217.24x = 2,528,650,825.86 × 1,685,767,217.24
  4. Step 4: Simplify right side
    1,685,767,217.24x = 4,262,716,666,081,640,448
  5. Step 5: Solve for x
    x = 4,262,716,666,081,640,448/1,685,767,217.24
  6. Step 6: Final answer
    x = 2,528,650,825.86

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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.