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Finding the Fourth Proportional to 702,199,638,385.65, 1,053,299,457,578.50 and 702,199,638,385.65

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Solution

The fourth proportional to 702,199,638,385.65, 1,053,299,457,578.50 and 702,199,638,385.65 is: 1,053,299,457,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,199,638,385.65 : 1,053,299,457,578.50 = 702,199,638,385.65 : x
  2. Step 2: Convert to fraction form
    702,199,638,385.65/1,053,299,457,578.50 = 702,199,638,385.65/x
  3. Step 3: Cross multiply
    702,199,638,385.65x = 1,053,299,457,578.50 × 702,199,638,385.65
  4. Step 4: Simplify right side
    702,199,638,385.65x = 739,626,498,223,423,988,170,752
  5. Step 5: Solve for x
    x = 739,626,498,223,423,988,170,752/702,199,638,385.65
  6. Step 6: Final answer
    x = 1,053,299,457,578.50

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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.