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Finding the Fourth Proportional to 614,626,987.54, 847,649,206.44 and 435,656,882.47

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Solution

The fourth proportional to 614,626,987.54, 847,649,206.44 and 435,656,882.47 is: 600,826,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,626,987.54 : 847,649,206.44 = 435,656,882.47 : x
  2. Step 2: Convert to fraction form
    614,626,987.54/847,649,206.44 = 435,656,882.47/x
  3. Step 3: Cross multiply
    614,626,987.54x = 847,649,206.44 × 435,656,882.47
  4. Step 4: Simplify right side
    614,626,987.54x = 369,284,210,701,581,632
  5. Step 5: Solve for x
    x = 369,284,210,701,581,632/614,626,987.54
  6. Step 6: Final answer
    x = 600,826,547.14

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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.