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Finding the Fourth Proportional to 2,003,347,366,952.60, 3,005,021,050,429 and 2,003,347,366,952.60

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Solution

The fourth proportional to 2,003,347,366,952.60, 3,005,021,050,429 and 2,003,347,366,952.60 is: 3,005,021,050,429

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003,347,366,952.60 : 3,005,021,050,429 = 2,003,347,366,952.60 : x
  2. Step 2: Convert to fraction form
    2,003,347,366,952.60/3,005,021,050,429 = 2,003,347,366,952.60/x
  3. Step 3: Cross multiply
    2,003,347,366,952.60x = 3,005,021,050,429 × 2,003,347,366,952.60
  4. Step 4: Simplify right side
    2,003,347,366,952.60x = 6,020,101,009,014,073,535,234,048
  5. Step 5: Solve for x
    x = 6,020,101,009,014,073,535,234,048/2,003,347,366,952.60
  6. Step 6: Final answer
    x = 3,005,021,050,429

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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.