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Finding the Fourth Proportional to 534,843,009.10, 750,140,701.70 and 534,843,009.10

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Solution

The fourth proportional to 534,843,009.10, 750,140,701.70 and 534,843,009.10 is: 750,140,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,843,009.10 : 750,140,701.70 = 534,843,009.10 : x
  2. Step 2: Convert to fraction form
    534,843,009.10/750,140,701.70 = 534,843,009.10/x
  3. Step 3: Cross multiply
    534,843,009.10x = 750,140,701.70 × 534,843,009.10
  4. Step 4: Simplify right side
    534,843,009.10x = 401,207,510,145,613,504
  5. Step 5: Solve for x
    x = 401,207,510,145,613,504/534,843,009.10
  6. Step 6: Final answer
    x = 750,140,701.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.