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Finding the Fourth Proportional to 706,117,932.45, 1,057,161,359.48 and 706,117,932.45

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Solution

The fourth proportional to 706,117,932.45, 1,057,161,359.48 and 706,117,932.45 is: 1,057,161,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,117,932.45 : 1,057,161,359.48 = 706,117,932.45 : x
  2. Step 2: Convert to fraction form
    706,117,932.45/1,057,161,359.48 = 706,117,932.45/x
  3. Step 3: Cross multiply
    706,117,932.45x = 1,057,161,359.48 × 706,117,932.45
  4. Step 4: Simplify right side
    706,117,932.45x = 746,480,593,418,518,272
  5. Step 5: Solve for x
    x = 746,480,593,418,518,272/706,117,932.45
  6. Step 6: Final answer
    x = 1,057,161,359.48

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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.