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Finding the Fourth Proportional to 21,493,838,775.40, 32,240,758,163.10 and 21,493,838,775.40

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Solution

The fourth proportional to 21,493,838,775.40, 32,240,758,163.10 and 21,493,838,775.40 is: 32,240,758,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493,838,775.40 : 32,240,758,163.10 = 21,493,838,775.40 : x
  2. Step 2: Convert to fraction form
    21,493,838,775.40/32,240,758,163.10 = 21,493,838,775.40/x
  3. Step 3: Cross multiply
    21,493,838,775.40x = 32,240,758,163.10 × 21,493,838,775.40
  4. Step 4: Simplify right side
    21,493,838,775.40x = 692,977,657,954,332,835,840
  5. Step 5: Solve for x
    x = 692,977,657,954,332,835,840/21,493,838,775.40
  6. Step 6: Final answer
    x = 32,240,758,163.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.