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Finding the Fourth Proportional to 15,684,326,546.30, 22,013,156,967.70 and 15,684,326,546.30

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Solution

The fourth proportional to 15,684,326,546.30, 22,013,156,967.70 and 15,684,326,546.30 is: 22,013,156,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684,326,546.30 : 22,013,156,967.70 = 15,684,326,546.30 : x
  2. Step 2: Convert to fraction form
    15,684,326,546.30/22,013,156,967.70 = 15,684,326,546.30/x
  3. Step 3: Cross multiply
    15,684,326,546.30x = 22,013,156,967.70 × 15,684,326,546.30
  4. Step 4: Simplify right side
    15,684,326,546.30x = 345,261,542,196,365,885,440
  5. Step 5: Solve for x
    x = 345,261,542,196,365,885,440/15,684,326,546.30
  6. Step 6: Final answer
    x = 22,013,156,967.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.