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Finding the Fourth Proportional to 514,189,518.06, 709,798,687.71 and 347,152,066.50

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Solution

The fourth proportional to 514,189,518.06, 709,798,687.71 and 347,152,066.50 is: 479,216,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,189,518.06 : 709,798,687.71 = 347,152,066.50 : x
  2. Step 2: Convert to fraction form
    514,189,518.06/709,798,687.71 = 347,152,066.50/x
  3. Step 3: Cross multiply
    514,189,518.06x = 709,798,687.71 × 347,152,066.50
  4. Step 4: Simplify right side
    514,189,518.06x = 246,408,081,237,514,656
  5. Step 5: Solve for x
    x = 246,408,081,237,514,656/514,189,518.06
  6. Step 6: Final answer
    x = 479,216,461.21

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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.