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Finding the Fourth Proportional to 282,306,045,400.90, 396,220,260,013.10 and 282,306,045,400.90

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Solution

The fourth proportional to 282,306,045,400.90, 396,220,260,013.10 and 282,306,045,400.90 is: 396,220,260,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,306,045,400.90 : 396,220,260,013.10 = 282,306,045,400.90 : x
  2. Step 2: Convert to fraction form
    282,306,045,400.90/396,220,260,013.10 = 282,306,045,400.90/x
  3. Step 3: Cross multiply
    282,306,045,400.90x = 396,220,260,013.10 × 282,306,045,400.90
  4. Step 4: Simplify right side
    282,306,045,400.90x = 111,855,374,712,014,622,425,088
  5. Step 5: Solve for x
    x = 111,855,374,712,014,622,425,088/282,306,045,400.90
  6. Step 6: Final answer
    x = 396,220,260,013.10

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1.5x scale

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.