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Finding the Fourth Proportional to 201,547,637,443.20, 302,321,456,164.80 and 201,547,637,443.20

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Solution

The fourth proportional to 201,547,637,443.20, 302,321,456,164.80 and 201,547,637,443.20 is: 302,321,456,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,547,637,443.20 : 302,321,456,164.80 = 201,547,637,443.20 : x
  2. Step 2: Convert to fraction form
    201,547,637,443.20/302,321,456,164.80 = 201,547,637,443.20/x
  3. Step 3: Cross multiply
    201,547,637,443.20x = 302,321,456,164.80 × 201,547,637,443.20
  4. Step 4: Simplify right side
    201,547,637,443.20x = 60,932,175,238,403,396,206,592
  5. Step 5: Solve for x
    x = 60,932,175,238,403,396,206,592/201,547,637,443.20
  6. Step 6: Final answer
    x = 302,321,456,164.80

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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.