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Finding the Fourth Proportional to 2,705,183,176.65, 4,057,774,764.98 and 2,705,183,176.65

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Solution

The fourth proportional to 2,705,183,176.65, 4,057,774,764.98 and 2,705,183,176.65 is: 4,057,774,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705,183,176.65 : 4,057,774,764.98 = 2,705,183,176.65 : x
  2. Step 2: Convert to fraction form
    2,705,183,176.65/4,057,774,764.98 = 2,705,183,176.65/x
  3. Step 3: Cross multiply
    2,705,183,176.65x = 4,057,774,764.98 × 2,705,183,176.65
  4. Step 4: Simplify right side
    2,705,183,176.65x = 10,977,024,028,845,277,184
  5. Step 5: Solve for x
    x = 10,977,024,028,845,277,184/2,705,183,176.65
  6. Step 6: Final answer
    x = 4,057,774,764.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.