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Finding the Fourth Proportional to 539,366,881.80, 809,050,322.70 and 233,256,865.80

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Solution

The fourth proportional to 539,366,881.80, 809,050,322.70 and 233,256,865.80 is: 349,885,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,366,881.80 : 809,050,322.70 = 233,256,865.80 : x
  2. Step 2: Convert to fraction form
    539,366,881.80/809,050,322.70 = 233,256,865.80/x
  3. Step 3: Cross multiply
    539,366,881.80x = 809,050,322.70 × 233,256,865.80
  4. Step 4: Simplify right side
    539,366,881.80x = 188,716,542,547,480,608
  5. Step 5: Solve for x
    x = 188,716,542,547,480,608/539,366,881.80
  6. Step 6: Final answer
    x = 349,885,298.70

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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.