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Finding the Fourth Proportional to 21,844,292,005.60, 32,766,438,008.40 and 21,844,292,005.60

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Solution

The fourth proportional to 21,844,292,005.60, 32,766,438,008.40 and 21,844,292,005.60 is: 32,766,438,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,844,292,005.60 : 32,766,438,008.40 = 21,844,292,005.60 : x
  2. Step 2: Convert to fraction form
    21,844,292,005.60/32,766,438,008.40 = 21,844,292,005.60/x
  3. Step 3: Cross multiply
    21,844,292,005.60x = 32,766,438,008.40 × 21,844,292,005.60
  4. Step 4: Simplify right side
    21,844,292,005.60x = 715,759,639,838,880,038,912
  5. Step 5: Solve for x
    x = 715,759,639,838,880,038,912/21,844,292,005.60
  6. Step 6: Final answer
    x = 32,766,438,008.40

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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.