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Finding the Fourth Proportional to 82,290,886.60, 115,056,075.80 and 82,290,886.60

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Solution

The fourth proportional to 82,290,886.60, 115,056,075.80 and 82,290,886.60 is: 115,056,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,290,886.60 : 115,056,075.80 = 82,290,886.60 : x
  2. Step 2: Convert to fraction form
    82,290,886.60/115,056,075.80 = 82,290,886.60/x
  3. Step 3: Cross multiply
    82,290,886.60x = 115,056,075.80 × 82,290,886.60
  4. Step 4: Simplify right side
    82,290,886.60x = 9,468,066,486,298,804
  5. Step 5: Solve for x
    x = 9,468,066,486,298,804/82,290,886.60
  6. Step 6: Final answer
    x = 115,056,075.80

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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.