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Finding the Fourth Proportional to 583,662,649.12, 877,594,018.56 and 538,161,171.28

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Solution

The fourth proportional to 583,662,649.12, 877,594,018.56 and 538,161,171.28 is: 809,178,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,662,649.12 : 877,594,018.56 = 538,161,171.28 : x
  2. Step 2: Convert to fraction form
    583,662,649.12/877,594,018.56 = 538,161,171.28/x
  3. Step 3: Cross multiply
    583,662,649.12x = 877,594,018.56 × 538,161,171.28
  4. Step 4: Simplify right side
    583,662,649.12x = 472,287,024,936,571,584
  5. Step 5: Solve for x
    x = 472,287,024,936,571,584/583,662,649.12
  6. Step 6: Final answer
    x = 809,178,085.40

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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.