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Finding the Fourth Proportional to 1,003,481,603, 1,384,843,954.92 and 686,606,483.60

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Solution

The fourth proportional to 1,003,481,603, 1,384,843,954.92 and 686,606,483.60 is: 947,543,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,481,603 : 1,384,843,954.92 = 686,606,483.60 : x
  2. Step 2: Convert to fraction form
    1,003,481,603/1,384,843,954.92 = 686,606,483.60/x
  3. Step 3: Cross multiply
    1,003,481,603x = 1,384,843,954.92 × 686,606,483.60
  4. Step 4: Simplify right side
    1,003,481,603x = 950,842,838,222,338,176
  5. Step 5: Solve for x
    x = 950,842,838,222,338,176/1,003,481,603
  6. Step 6: Final answer
    x = 947,543,866.65

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1.5x scale

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.