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Finding the Fourth Proportional to 398,628,866.80, 597,943,300.20 and 360,365,114.80

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Solution

The fourth proportional to 398,628,866.80, 597,943,300.20 and 360,365,114.80 is: 540,547,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,628,866.80 : 597,943,300.20 = 360,365,114.80 : x
  2. Step 2: Convert to fraction form
    398,628,866.80/597,943,300.20 = 360,365,114.80/x
  3. Step 3: Cross multiply
    398,628,866.80x = 597,943,300.20 × 360,365,114.80
  4. Step 4: Simplify right side
    398,628,866.80x = 215,477,906,020,463,872
  5. Step 5: Solve for x
    x = 215,477,906,020,463,872/398,628,866.80
  6. Step 6: Final answer
    x = 540,547,672.20

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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.