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Finding the Fourth Proportional to 157,423,824,199.40, 236,135,736,299.10 and 157,423,824,199.40

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Solution

The fourth proportional to 157,423,824,199.40, 236,135,736,299.10 and 157,423,824,199.40 is: 236,135,736,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,423,824,199.40 : 236,135,736,299.10 = 157,423,824,199.40 : x
  2. Step 2: Convert to fraction form
    157,423,824,199.40/236,135,736,299.10 = 157,423,824,199.40/x
  3. Step 3: Cross multiply
    157,423,824,199.40x = 236,135,736,299.10 × 157,423,824,199.40
  4. Step 4: Simplify right side
    157,423,824,199.40x = 37,173,390,638,345,393,012,736
  5. Step 5: Solve for x
    x = 37,173,390,638,345,393,012,736/157,423,824,199.40
  6. Step 6: Final answer
    x = 236,135,736,299.10

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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.