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Finding the Fourth Proportional to 705,093,233.10, 1,057,639,849.65 and 705,093,233.10

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Solution

The fourth proportional to 705,093,233.10, 1,057,639,849.65 and 705,093,233.10 is: 1,057,639,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,093,233.10 : 1,057,639,849.65 = 705,093,233.10 : x
  2. Step 2: Convert to fraction form
    705,093,233.10/1,057,639,849.65 = 705,093,233.10/x
  3. Step 3: Cross multiply
    705,093,233.10x = 1,057,639,849.65 × 705,093,233.10
  4. Step 4: Simplify right side
    705,093,233.10x = 745,734,701,045,116,416
  5. Step 5: Solve for x
    x = 745,734,701,045,116,416/705,093,233.10
  6. Step 6: Final answer
    x = 1,057,639,849.65

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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.