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Finding the Fourth Proportional to 539,963,347.68, 745,147,101.60 and 301,808,196.48

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Solution

The fourth proportional to 539,963,347.68, 745,147,101.60 and 301,808,196.48 is: 416,494,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,963,347.68 : 745,147,101.60 = 301,808,196.48 : x
  2. Step 2: Convert to fraction form
    539,963,347.68/745,147,101.60 = 301,808,196.48/x
  3. Step 3: Cross multiply
    539,963,347.68x = 745,147,101.60 × 301,808,196.48
  4. Step 4: Simplify right side
    539,963,347.68x = 224,891,502,846,195,328
  5. Step 5: Solve for x
    x = 224,891,502,846,195,328/539,963,347.68
  6. Step 6: Final answer
    x = 416,494,015.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.