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Finding the Fourth Proportional to 284,365,167.80, 426,547,751.70 and 261,970,287.80

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Solution

The fourth proportional to 284,365,167.80, 426,547,751.70 and 261,970,287.80 is: 392,955,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,365,167.80 : 426,547,751.70 = 261,970,287.80 : x
  2. Step 2: Convert to fraction form
    284,365,167.80/426,547,751.70 = 261,970,287.80/x
  3. Step 3: Cross multiply
    284,365,167.80x = 426,547,751.70 × 261,970,287.80
  4. Step 4: Simplify right side
    284,365,167.80x = 111,742,837,273,291,936
  5. Step 5: Solve for x
    x = 111,742,837,273,291,936/284,365,167.80
  6. Step 6: Final answer
    x = 392,955,431.70

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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.