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Finding the Fourth Proportional to 873,678,468.60, 1,310,517,702.90 and 735,928,961.40

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Solution

The fourth proportional to 873,678,468.60, 1,310,517,702.90 and 735,928,961.40 is: 1,103,893,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,678,468.60 : 1,310,517,702.90 = 735,928,961.40 : x
  2. Step 2: Convert to fraction form
    873,678,468.60/1,310,517,702.90 = 735,928,961.40/x
  3. Step 3: Cross multiply
    873,678,468.60x = 1,310,517,702.90 × 735,928,961.40
  4. Step 4: Simplify right side
    873,678,468.60x = 964,447,931,991,510,784
  5. Step 5: Solve for x
    x = 964,447,931,991,510,784/873,678,468.60
  6. Step 6: Final answer
    x = 1,103,893,442.10

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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.