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Finding the Fourth Proportional to 1,453,596,467.82, 2,005,952,921.19 and 793,546,745.82

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Solution

The fourth proportional to 1,453,596,467.82, 2,005,952,921.19 and 793,546,745.82 is: 1,095,088,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,596,467.82 : 2,005,952,921.19 = 793,546,745.82 : x
  2. Step 2: Convert to fraction form
    1,453,596,467.82/2,005,952,921.19 = 793,546,745.82/x
  3. Step 3: Cross multiply
    1,453,596,467.82x = 2,005,952,921.19 × 793,546,745.82
  4. Step 4: Simplify right side
    1,453,596,467.82x = 1,591,817,412,878,447,616
  5. Step 5: Solve for x
    x = 1,591,817,412,878,447,616/1,453,596,467.82
  6. Step 6: Final answer
    x = 1,095,088,938.45

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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.