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Finding the Fourth Proportional to 457,667,762.40, 686,501,643.60 and 457,667,762.40

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Solution

The fourth proportional to 457,667,762.40, 686,501,643.60 and 457,667,762.40 is: 686,501,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,667,762.40 : 686,501,643.60 = 457,667,762.40 : x
  2. Step 2: Convert to fraction form
    457,667,762.40/686,501,643.60 = 457,667,762.40/x
  3. Step 3: Cross multiply
    457,667,762.40x = 686,501,643.60 × 457,667,762.40
  4. Step 4: Simplify right side
    457,667,762.40x = 314,189,671,110,334,272
  5. Step 5: Solve for x
    x = 314,189,671,110,334,272/457,667,762.40
  6. Step 6: Final answer
    x = 686,501,643.60

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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.