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Finding the Fourth Proportional to 275,507,185,830.80, 412,607,744,045.40 and 275,507,185,830.80

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Solution

The fourth proportional to 275,507,185,830.80, 412,607,744,045.40 and 275,507,185,830.80 is: 412,607,744,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,507,185,830.80 : 412,607,744,045.40 = 275,507,185,830.80 : x
  2. Step 2: Convert to fraction form
    275,507,185,830.80/412,607,744,045.40 = 275,507,185,830.80/x
  3. Step 3: Cross multiply
    275,507,185,830.80x = 412,607,744,045.40 × 275,507,185,830.80
  4. Step 4: Simplify right side
    275,507,185,830.80x = 113,676,398,413,943,188,488,192
  5. Step 5: Solve for x
    x = 113,676,398,413,943,188,488,192/275,507,185,830.80
  6. Step 6: Final answer
    x = 412,607,744,045.40

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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.