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Finding the Fourth Proportional to 4,783,578,005.65, 7,175,367,008.48 and 4,783,578,005.65

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Solution

The fourth proportional to 4,783,578,005.65, 7,175,367,008.48 and 4,783,578,005.65 is: 7,175,367,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783,578,005.65 : 7,175,367,008.48 = 4,783,578,005.65 : x
  2. Step 2: Convert to fraction form
    4,783,578,005.65/7,175,367,008.48 = 4,783,578,005.65/x
  3. Step 3: Cross multiply
    4,783,578,005.65x = 7,175,367,008.48 × 4,783,578,005.65
  4. Step 4: Simplify right side
    4,783,578,005.65x = 34,323,927,804,231,561,216
  5. Step 5: Solve for x
    x = 34,323,927,804,231,561,216/4,783,578,005.65
  6. Step 6: Final answer
    x = 7,175,367,008.48

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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.