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Finding the Fourth Proportional to 160,403,329,998.30, 240,604,994,997.45 and 160,403,329,998.30

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Solution

The fourth proportional to 160,403,329,998.30, 240,604,994,997.45 and 160,403,329,998.30 is: 240,604,994,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,403,329,998.30 : 240,604,994,997.45 = 160,403,329,998.30 : x
  2. Step 2: Convert to fraction form
    160,403,329,998.30/240,604,994,997.45 = 160,403,329,998.30/x
  3. Step 3: Cross multiply
    160,403,329,998.30x = 240,604,994,997.45 × 160,403,329,998.30
  4. Step 4: Simplify right side
    160,403,329,998.30x = 38,593,842,411,815,292,633,088
  5. Step 5: Solve for x
    x = 38,593,842,411,815,292,633,088/160,403,329,998.30
  6. Step 6: Final answer
    x = 240,604,994,997.45

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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.