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Finding the Fourth Proportional to 3,185,461,728,000.90, 4,778,192,592,001.80 and 3,185,461,728,000.90

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Solution

The fourth proportional to 3,185,461,728,000.90, 4,778,192,592,001.80 and 3,185,461,728,000.90 is: 4,778,192,592,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,461,728,000.90 : 4,778,192,592,001.80 = 3,185,461,728,000.90 : x
  2. Step 2: Convert to fraction form
    3,185,461,728,000.90/4,778,192,592,001.80 = 3,185,461,728,000.90/x
  3. Step 3: Cross multiply
    3,185,461,728,000.90x = 4,778,192,592,001.80 × 3,185,461,728,000.90
  4. Step 4: Simplify right side
    3,185,461,728,000.90x = 15,220,749,630,839,152,848,142,336
  5. Step 5: Solve for x
    x = 15,220,749,630,839,152,848,142,336/3,185,461,728,000.90
  6. Step 6: Final answer
    x = 4,778,192,592,001.80

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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.