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Finding the Fourth Proportional to 40,802,871.20, 57,199,602.40 and 40,802,871.20

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Solution

The fourth proportional to 40,802,871.20, 57,199,602.40 and 40,802,871.20 is: 57,199,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,802,871.20 : 57,199,602.40 = 40,802,871.20 : x
  2. Step 2: Convert to fraction form
    40,802,871.20/57,199,602.40 = 40,802,871.20/x
  3. Step 3: Cross multiply
    40,802,871.20x = 57,199,602.40 × 40,802,871.20
  4. Step 4: Simplify right side
    40,802,871.20x = 2,333,908,009,418,411
  5. Step 5: Solve for x
    x = 2,333,908,009,418,411/40,802,871.20
  6. Step 6: Final answer
    x = 57,199,602.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.