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Finding the Fourth Proportional to 456,194,230.60, 684,291,345.90 and 456,194,230.60

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Solution

The fourth proportional to 456,194,230.60, 684,291,345.90 and 456,194,230.60 is: 684,291,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,194,230.60 : 684,291,345.90 = 456,194,230.60 : x
  2. Step 2: Convert to fraction form
    456,194,230.60/684,291,345.90 = 456,194,230.60/x
  3. Step 3: Cross multiply
    456,194,230.60x = 684,291,345.90 × 456,194,230.60
  4. Step 4: Simplify right side
    456,194,230.60x = 312,169,764,049,088,960
  5. Step 5: Solve for x
    x = 312,169,764,049,088,960/456,194,230.60
  6. Step 6: Final answer
    x = 684,291,345.90

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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.