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Finding the Fourth Proportional to 145,584,233,158.65, 218,376,349,738.17 and 145,584,233,158.65

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Solution

The fourth proportional to 145,584,233,158.65, 218,376,349,738.17 and 145,584,233,158.65 is: 218,376,349,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,584,233,158.65 : 218,376,349,738.17 = 145,584,233,158.65 : x
  2. Step 2: Convert to fraction form
    145,584,233,158.65/218,376,349,738.17 = 145,584,233,158.65/x
  3. Step 3: Cross multiply
    145,584,233,158.65x = 218,376,349,738.17 × 145,584,233,158.65
  4. Step 4: Simplify right side
    145,584,233,158.65x = 31,792,153,416,616,640,512,000
  5. Step 5: Solve for x
    x = 31,792,153,416,616,640,512,000/145,584,233,158.65
  6. Step 6: Final answer
    x = 218,376,349,738.17

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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.