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Finding the Fourth Proportional to 712,668,803.70, 1,069,003,205.55 and 712,668,803.70

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Solution

The fourth proportional to 712,668,803.70, 1,069,003,205.55 and 712,668,803.70 is: 1,069,003,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,668,803.70 : 1,069,003,205.55 = 712,668,803.70 : x
  2. Step 2: Convert to fraction form
    712,668,803.70/1,069,003,205.55 = 712,668,803.70/x
  3. Step 3: Cross multiply
    712,668,803.70x = 1,069,003,205.55 × 712,668,803.70
  4. Step 4: Simplify right side
    712,668,803.70x = 761,845,235,650,783,744
  5. Step 5: Solve for x
    x = 761,845,235,650,783,744/712,668,803.70
  6. Step 6: Final answer
    x = 1,069,003,205.55

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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.