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Finding the Fourth Proportional to 12,066,221,376,166, 18,099,332,064,248 and 12,066,221,376,166

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Solution

The fourth proportional to 12,066,221,376,166, 18,099,332,064,248 and 12,066,221,376,166 is: 18,099,332,064,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066,221,376,166 : 18,099,332,064,248 = 12,066,221,376,166 : x
  2. Step 2: Convert to fraction form
    12,066,221,376,166/18,099,332,064,248 = 12,066,221,376,166/x
  3. Step 3: Cross multiply
    12,066,221,376,166x = 18,099,332,064,248 × 12,066,221,376,166
  4. Step 4: Simplify right side
    12,066,221,376,166x = 218,390,547,447,955,902,366,220,288
  5. Step 5: Solve for x
    x = 218,390,547,447,955,902,366,220,288/12,066,221,376,166
  6. Step 6: Final answer
    x = 18,099,332,064,248

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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.