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Finding the Fourth Proportional to 471,521,543,630.40, 707,282,315,445.60 and 471,521,543,630.40

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Solution

The fourth proportional to 471,521,543,630.40, 707,282,315,445.60 and 471,521,543,630.40 is: 707,282,315,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,521,543,630.40 : 707,282,315,445.60 = 471,521,543,630.40 : x
  2. Step 2: Convert to fraction form
    471,521,543,630.40/707,282,315,445.60 = 471,521,543,630.40/x
  3. Step 3: Cross multiply
    471,521,543,630.40x = 707,282,315,445.60 × 471,521,543,630.40
  4. Step 4: Simplify right side
    471,521,543,630.40x = 333,498,849,161,392,842,342,400
  5. Step 5: Solve for x
    x = 333,498,849,161,392,842,342,400/471,521,543,630.40
  6. Step 6: Final answer
    x = 707,282,315,445.60

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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.