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Finding the Fourth Proportional to 521,520,768,005.02, 782,281,152,007.53 and 521,520,768,005.02

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Solution

The fourth proportional to 521,520,768,005.02, 782,281,152,007.53 and 521,520,768,005.02 is: 782,281,152,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,520,768,005.02 : 782,281,152,007.53 = 521,520,768,005.02 : x
  2. Step 2: Convert to fraction form
    521,520,768,005.02/782,281,152,007.53 = 521,520,768,005.02/x
  3. Step 3: Cross multiply
    521,520,768,005.02x = 782,281,152,007.53 × 521,520,768,005.02
  4. Step 4: Simplify right side
    521,520,768,005.02x = 407,975,867,190,818,845,491,200
  5. Step 5: Solve for x
    x = 407,975,867,190,818,845,491,200/521,520,768,005.02
  6. Step 6: Final answer
    x = 782,281,152,007.53

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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.