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Finding the Fourth Proportional to 265,712,597.80, 398,568,896.70 and 163,144,047.40

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Solution

The fourth proportional to 265,712,597.80, 398,568,896.70 and 163,144,047.40 is: 244,716,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,712,597.80 : 398,568,896.70 = 163,144,047.40 : x
  2. Step 2: Convert to fraction form
    265,712,597.80/398,568,896.70 = 163,144,047.40/x
  3. Step 3: Cross multiply
    265,712,597.80x = 398,568,896.70 × 163,144,047.40
  4. Step 4: Simplify right side
    265,712,597.80x = 65,024,142,975,390,504
  5. Step 5: Solve for x
    x = 65,024,142,975,390,504/265,712,597.80
  6. Step 6: Final answer
    x = 244,716,071.10

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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.