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Finding the Fourth Proportional to 265,734,245.80, 398,601,368.70 and 149,029,802.20

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Solution

The fourth proportional to 265,734,245.80, 398,601,368.70 and 149,029,802.20 is: 223,544,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,734,245.80 : 398,601,368.70 = 149,029,802.20 : x
  2. Step 2: Convert to fraction form
    265,734,245.80/398,601,368.70 = 149,029,802.20/x
  3. Step 3: Cross multiply
    265,734,245.80x = 398,601,368.70 × 149,029,802.20
  4. Step 4: Simplify right side
    265,734,245.80x = 59,403,483,134,010,264
  5. Step 5: Solve for x
    x = 59,403,483,134,010,264/265,734,245.80
  6. Step 6: Final answer
    x = 223,544,703.30

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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.