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Finding the Fourth Proportional to 411,453,433,551.15, 617,180,150,326.73 and 411,453,433,551.15

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Solution

The fourth proportional to 411,453,433,551.15, 617,180,150,326.73 and 411,453,433,551.15 is: 617,180,150,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,453,433,551.15 : 617,180,150,326.73 = 411,453,433,551.15 : x
  2. Step 2: Convert to fraction form
    411,453,433,551.15/617,180,150,326.73 = 411,453,433,551.15/x
  3. Step 3: Cross multiply
    411,453,433,551.15x = 617,180,150,326.73 × 411,453,433,551.15
  4. Step 4: Simplify right side
    411,453,433,551.15x = 253,940,891,971,547,973,025,792
  5. Step 5: Solve for x
    x = 253,940,891,971,547,973,025,792/411,453,433,551.15
  6. Step 6: Final answer
    x = 617,180,150,326.73

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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.