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Finding the Fourth Proportional to 457,603,280.40, 686,404,920.60 and 457,603,280.40

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Solution

The fourth proportional to 457,603,280.40, 686,404,920.60 and 457,603,280.40 is: 686,404,920.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,603,280.40 : 686,404,920.60 = 457,603,280.40 : x
  2. Step 2: Convert to fraction form
    457,603,280.40/686,404,920.60 = 457,603,280.40/x
  3. Step 3: Cross multiply
    457,603,280.40x = 686,404,920.60 × 457,603,280.40
  4. Step 4: Simplify right side
    457,603,280.40x = 314,101,143,349,261,504
  5. Step 5: Solve for x
    x = 314,101,143,349,261,504/457,603,280.40
  6. Step 6: Final answer
    x = 686,404,920.60

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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.