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Finding the Fourth Proportional to 12,066,221,376,130, 18,099,332,064,194 and 12,066,221,376,130

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Solution

The fourth proportional to 12,066,221,376,130, 18,099,332,064,194 and 12,066,221,376,130 is: 18,099,332,064,194

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066,221,376,130 : 18,099,332,064,194 = 12,066,221,376,130 : x
  2. Step 2: Convert to fraction form
    12,066,221,376,130/18,099,332,064,194 = 12,066,221,376,130/x
  3. Step 3: Cross multiply
    12,066,221,376,130x = 18,099,332,064,194 × 12,066,221,376,130
  4. Step 4: Simplify right side
    12,066,221,376,130x = 218,390,547,446,652,774,928,875,520
  5. Step 5: Solve for x
    x = 218,390,547,446,652,774,928,875,520/12,066,221,376,130
  6. Step 6: Final answer
    x = 18,099,332,064,194

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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.