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Finding the Fourth Proportional to 352,580,857,514.70, 528,871,286,272.05 and 352,580,857,514.70

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Solution

The fourth proportional to 352,580,857,514.70, 528,871,286,272.05 and 352,580,857,514.70 is: 528,871,286,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,580,857,514.70 : 528,871,286,272.05 = 352,580,857,514.70 : x
  2. Step 2: Convert to fraction form
    352,580,857,514.70/528,871,286,272.05 = 352,580,857,514.70/x
  3. Step 3: Cross multiply
    352,580,857,514.70x = 528,871,286,272.05 × 352,580,857,514.70
  4. Step 4: Simplify right side
    352,580,857,514.70x = 186,469,891,628,701,786,832,896
  5. Step 5: Solve for x
    x = 186,469,891,628,701,786,832,896/352,580,857,514.70
  6. Step 6: Final answer
    x = 528,871,286,272.05

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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.