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Finding the Fourth Proportional to 1,159,763,507.15, 1,600,473,900.44 and 638,242,739.15

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Solution

The fourth proportional to 1,159,763,507.15, 1,600,473,900.44 and 638,242,739.15 is: 880,775,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,763,507.15 : 1,600,473,900.44 = 638,242,739.15 : x
  2. Step 2: Convert to fraction form
    1,159,763,507.15/1,600,473,900.44 = 638,242,739.15/x
  3. Step 3: Cross multiply
    1,159,763,507.15x = 1,600,473,900.44 × 638,242,739.15
  4. Step 4: Simplify right side
    1,159,763,507.15x = 1,021,490,846,155,719,936
  5. Step 5: Solve for x
    x = 1,021,490,846,155,719,936/1,159,763,507.15
  6. Step 6: Final answer
    x = 880,775,123.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.