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Finding the Fourth Proportional to 42,340,240,014.30, 63,510,360,021.45 and 42,340,240,014.30

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Solution

The fourth proportional to 42,340,240,014.30, 63,510,360,021.45 and 42,340,240,014.30 is: 63,510,360,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,340,240,014.30 : 63,510,360,021.45 = 42,340,240,014.30 : x
  2. Step 2: Convert to fraction form
    42,340,240,014.30/63,510,360,021.45 = 42,340,240,014.30/x
  3. Step 3: Cross multiply
    42,340,240,014.30x = 63,510,360,021.45 × 42,340,240,014.30
  4. Step 4: Simplify right side
    42,340,240,014.30x = 2,689,043,886,702,796,472,320
  5. Step 5: Solve for x
    x = 2,689,043,886,702,796,472,320/42,340,240,014.30
  6. Step 6: Final answer
    x = 63,510,360,021.45

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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.