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Finding the Fourth Proportional to 214,347,492,085.05, 321,521,238,127.57 and 214,347,492,085.05

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Solution

The fourth proportional to 214,347,492,085.05, 321,521,238,127.57 and 214,347,492,085.05 is: 321,521,238,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,347,492,085.05 : 321,521,238,127.57 = 214,347,492,085.05 : x
  2. Step 2: Convert to fraction form
    214,347,492,085.05/321,521,238,127.57 = 214,347,492,085.05/x
  3. Step 3: Cross multiply
    214,347,492,085.05x = 321,521,238,127.57 × 214,347,492,085.05
  4. Step 4: Simplify right side
    214,347,492,085.05x = 68,917,271,044,724,780,695,552
  5. Step 5: Solve for x
    x = 68,917,271,044,724,780,695,552/214,347,492,085.05
  6. Step 6: Final answer
    x = 321,521,238,127.57

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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.