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Finding the Fourth Proportional to 201,841,804,870.20, 302,762,707,305.30 and 201,841,804,870.20

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Solution

The fourth proportional to 201,841,804,870.20, 302,762,707,305.30 and 201,841,804,870.20 is: 302,762,707,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,841,804,870.20 : 302,762,707,305.30 = 201,841,804,870.20 : x
  2. Step 2: Convert to fraction form
    201,841,804,870.20/302,762,707,305.30 = 201,841,804,870.20/x
  3. Step 3: Cross multiply
    201,841,804,870.20x = 302,762,707,305.30 × 201,841,804,870.20
  4. Step 4: Simplify right side
    201,841,804,870.20x = 61,110,171,289,889,837,940,736
  5. Step 5: Solve for x
    x = 61,110,171,289,889,837,940,736/201,841,804,870.20
  6. Step 6: Final answer
    x = 302,762,707,305.30

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1.5x scale

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.