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Finding the Fourth Proportional to 352,580,857,510.20, 528,871,286,265.30 and 352,580,857,510.20

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Solution

The fourth proportional to 352,580,857,510.20, 528,871,286,265.30 and 352,580,857,510.20 is: 528,871,286,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,580,857,510.20 : 528,871,286,265.30 = 352,580,857,510.20 : x
  2. Step 2: Convert to fraction form
    352,580,857,510.20/528,871,286,265.30 = 352,580,857,510.20/x
  3. Step 3: Cross multiply
    352,580,857,510.20x = 528,871,286,265.30 × 352,580,857,510.20
  4. Step 4: Simplify right side
    352,580,857,510.20x = 186,469,891,623,941,922,881,536
  5. Step 5: Solve for x
    x = 186,469,891,623,941,922,881,536/352,580,857,510.20
  6. Step 6: Final answer
    x = 528,871,286,265.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.