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Finding the Fourth Proportional to 680,264,450.80, 954,184,216.40 and 680,264,450.80

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Solution

The fourth proportional to 680,264,450.80, 954,184,216.40 and 680,264,450.80 is: 954,184,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,264,450.80 : 954,184,216.40 = 680,264,450.80 : x
  2. Step 2: Convert to fraction form
    680,264,450.80/954,184,216.40 = 680,264,450.80/x
  3. Step 3: Cross multiply
    680,264,450.80x = 954,184,216.40 × 680,264,450.80
  4. Step 4: Simplify right side
    680,264,450.80x = 649,097,601,931,374,336
  5. Step 5: Solve for x
    x = 649,097,601,931,374,336/680,264,450.80
  6. Step 6: Final answer
    x = 954,184,216.40

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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.