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Finding the Fourth Proportional to 853,884,994.08, 1,178,362,299.84 and 462,744,418.08

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Solution

The fourth proportional to 853,884,994.08, 1,178,362,299.84 and 462,744,418.08 is: 638,587,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,884,994.08 : 1,178,362,299.84 = 462,744,418.08 : x
  2. Step 2: Convert to fraction form
    853,884,994.08/1,178,362,299.84 = 462,744,418.08/x
  3. Step 3: Cross multiply
    853,884,994.08x = 1,178,362,299.84 × 462,744,418.08
  4. Step 4: Simplify right side
    853,884,994.08x = 545,280,576,726,871,232
  5. Step 5: Solve for x
    x = 545,280,576,726,871,232/853,884,994.08
  6. Step 6: Final answer
    x = 638,587,843.22

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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.