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Finding the Fourth Proportional to 680,264,538.80, 954,184,339.60 and 680,264,538.80

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Solution

The fourth proportional to 680,264,538.80, 954,184,339.60 and 680,264,538.80 is: 954,184,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,264,538.80 : 954,184,339.60 = 680,264,538.80 : x
  2. Step 2: Convert to fraction form
    680,264,538.80/954,184,339.60 = 680,264,538.80/x
  3. Step 3: Cross multiply
    680,264,538.80x = 954,184,339.60 × 680,264,538.80
  4. Step 4: Simplify right side
    680,264,538.80x = 649,097,769,708,176,512
  5. Step 5: Solve for x
    x = 649,097,769,708,176,512/680,264,538.80
  6. Step 6: Final answer
    x = 954,184,339.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.