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Finding the Fourth Proportional to 214,347,492,043.30, 321,521,238,064.95 and 214,347,492,043.30

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Solution

The fourth proportional to 214,347,492,043.30, 321,521,238,064.95 and 214,347,492,043.30 is: 321,521,238,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,347,492,043.30 : 321,521,238,064.95 = 214,347,492,043.30 : x
  2. Step 2: Convert to fraction form
    214,347,492,043.30/321,521,238,064.95 = 214,347,492,043.30/x
  3. Step 3: Cross multiply
    214,347,492,043.30x = 321,521,238,064.95 × 214,347,492,043.30
  4. Step 4: Simplify right side
    214,347,492,043.30x = 68,917,271,017,878,835,953,664
  5. Step 5: Solve for x
    x = 68,917,271,017,878,835,953,664/214,347,492,043.30
  6. Step 6: Final answer
    x = 321,521,238,064.95

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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.