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Finding the Fourth Proportional to 440,047,358.40, 660,071,037.60 and 440,047,358.40

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Solution

The fourth proportional to 440,047,358.40, 660,071,037.60 and 440,047,358.40 is: 660,071,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,047,358.40 : 660,071,037.60 = 440,047,358.40 : x
  2. Step 2: Convert to fraction form
    440,047,358.40/660,071,037.60 = 440,047,358.40/x
  3. Step 3: Cross multiply
    440,047,358.40x = 660,071,037.60 × 440,047,358.40
  4. Step 4: Simplify right side
    440,047,358.40x = 290,462,516,452,227,072
  5. Step 5: Solve for x
    x = 290,462,516,452,227,072/440,047,358.40
  6. Step 6: Final answer
    x = 660,071,037.60

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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.