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Finding the Fourth Proportional to 440,064,230.40, 660,096,345.60 and 440,064,230.40

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Solution

The fourth proportional to 440,064,230.40, 660,096,345.60 and 440,064,230.40 is: 660,096,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,064,230.40 : 660,096,345.60 = 440,064,230.40 : x
  2. Step 2: Convert to fraction form
    440,064,230.40/660,096,345.60 = 440,064,230.40/x
  3. Step 3: Cross multiply
    440,064,230.40x = 660,096,345.60 × 440,064,230.40
  4. Step 4: Simplify right side
    440,064,230.40x = 290,484,790,316,316,416
  5. Step 5: Solve for x
    x = 290,484,790,316,316,416/440,064,230.40
  6. Step 6: Final answer
    x = 660,096,345.60

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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.