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Finding the Fourth Proportional to 338,256,001.40, 507,384,002.10 and 338,256,001.40

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Solution

The fourth proportional to 338,256,001.40, 507,384,002.10 and 338,256,001.40 is: 507,384,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,256,001.40 : 507,384,002.10 = 338,256,001.40 : x
  2. Step 2: Convert to fraction form
    338,256,001.40/507,384,002.10 = 338,256,001.40/x
  3. Step 3: Cross multiply
    338,256,001.40x = 507,384,002.10 × 338,256,001.40
  4. Step 4: Simplify right side
    338,256,001.40x = 171,625,683,724,675,200
  5. Step 5: Solve for x
    x = 171,625,683,724,675,200/338,256,001.40
  6. Step 6: Final answer
    x = 507,384,002.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.