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Finding the Fourth Proportional to 145,584,233,145.15, 218,376,349,717.90 and 145,584,233,145.15

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Solution

The fourth proportional to 145,584,233,145.15, 218,376,349,717.90 and 145,584,233,145.15 is: 218,376,349,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,584,233,145.15 : 218,376,349,717.90 = 145,584,233,145.15 : x
  2. Step 2: Convert to fraction form
    145,584,233,145.15/218,376,349,717.90 = 145,584,233,145.15/x
  3. Step 3: Cross multiply
    145,584,233,145.15x = 218,376,349,717.90 × 145,584,233,145.15
  4. Step 4: Simplify right side
    145,584,233,145.15x = 31,792,153,410,717,561,651,200
  5. Step 5: Solve for x
    x = 31,792,153,410,717,561,651,200/145,584,233,145.15
  6. Step 6: Final answer
    x = 218,376,349,717.90

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1.5x scale

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.