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Finding the Fourth Proportional to 171,856,404,328.05, 257,784,606,492.07 and 171,856,404,328.05

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Solution

The fourth proportional to 171,856,404,328.05, 257,784,606,492.07 and 171,856,404,328.05 is: 257,784,606,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,856,404,328.05 : 257,784,606,492.07 = 171,856,404,328.05 : x
  2. Step 2: Convert to fraction form
    171,856,404,328.05/257,784,606,492.07 = 171,856,404,328.05/x
  3. Step 3: Cross multiply
    171,856,404,328.05x = 257,784,606,492.07 × 171,856,404,328.05
  4. Step 4: Simplify right side
    171,856,404,328.05x = 44,301,935,562,848,441,729,024
  5. Step 5: Solve for x
    x = 44,301,935,562,848,441,729,024/171,856,404,328.05
  6. Step 6: Final answer
    x = 257,784,606,492.07

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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.