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Finding the Fourth Proportional to 804,105,409.60, 1,206,158,114.40 and 804,105,409.60

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Solution

The fourth proportional to 804,105,409.60, 1,206,158,114.40 and 804,105,409.60 is: 1,206,158,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,105,409.60 : 1,206,158,114.40 = 804,105,409.60 : x
  2. Step 2: Convert to fraction form
    804,105,409.60/1,206,158,114.40 = 804,105,409.60/x
  3. Step 3: Cross multiply
    804,105,409.60x = 1,206,158,114.40 × 804,105,409.60
  4. Step 4: Simplify right side
    804,105,409.60x = 969,878,264,621,975,808
  5. Step 5: Solve for x
    x = 969,878,264,621,975,808/804,105,409.60
  6. Step 6: Final answer
    x = 1,206,158,114.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.