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Finding the Fourth Proportional to 5,735,290,468.40, 8,602,935,702.60 and 5,735,290,468.40

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Solution

The fourth proportional to 5,735,290,468.40, 8,602,935,702.60 and 5,735,290,468.40 is: 8,602,935,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735,290,468.40 : 8,602,935,702.60 = 5,735,290,468.40 : x
  2. Step 2: Convert to fraction form
    5,735,290,468.40/8,602,935,702.60 = 5,735,290,468.40/x
  3. Step 3: Cross multiply
    5,735,290,468.40x = 8,602,935,702.60 × 5,735,290,468.40
  4. Step 4: Simplify right side
    5,735,290,468.40x = 49,340,335,135,379,832,832
  5. Step 5: Solve for x
    x = 49,340,335,135,379,832,832/5,735,290,468.40
  6. Step 6: Final answer
    x = 8,602,935,702.60

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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.