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Finding the Fourth Proportional to 330,049,775,352.60, 495,074,663,028.90 and 330,049,775,352.60

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Solution

The fourth proportional to 330,049,775,352.60, 495,074,663,028.90 and 330,049,775,352.60 is: 495,074,663,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,049,775,352.60 : 495,074,663,028.90 = 330,049,775,352.60 : x
  2. Step 2: Convert to fraction form
    330,049,775,352.60/495,074,663,028.90 = 330,049,775,352.60/x
  3. Step 3: Cross multiply
    330,049,775,352.60x = 495,074,663,028.90 × 330,049,775,352.60
  4. Step 4: Simplify right side
    330,049,775,352.60x = 163,399,281,315,452,586,819,584
  5. Step 5: Solve for x
    x = 163,399,281,315,452,586,819,584/330,049,775,352.60
  6. Step 6: Final answer
    x = 495,074,663,028.90

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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.