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Finding the Fourth Proportional to 521,520,768,000.98, 782,281,152,001.46 and 521,520,768,000.98

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Solution

The fourth proportional to 521,520,768,000.98, 782,281,152,001.46 and 521,520,768,000.98 is: 782,281,152,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,520,768,000.98 : 782,281,152,001.46 = 521,520,768,000.98 : x
  2. Step 2: Convert to fraction form
    521,520,768,000.98/782,281,152,001.46 = 521,520,768,000.98/x
  3. Step 3: Cross multiply
    521,520,768,000.98x = 782,281,152,001.46 × 521,520,768,000.98
  4. Step 4: Simplify right side
    521,520,768,000.98x = 407,975,867,184,492,761,317,376
  5. Step 5: Solve for x
    x = 407,975,867,184,492,761,317,376/521,520,768,000.98
  6. Step 6: Final answer
    x = 782,281,152,001.46

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