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Finding the Fourth Proportional to 157,464,356.30, 235,771,381.65 and 157,464,356.30

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Solution

The fourth proportional to 157,464,356.30, 235,771,381.65 and 157,464,356.30 is: 235,771,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,464,356.30 : 235,771,381.65 = 157,464,356.30 : x
  2. Step 2: Convert to fraction form
    157,464,356.30/235,771,381.65 = 157,464,356.30/x
  3. Step 3: Cross multiply
    157,464,356.30x = 235,771,381.65 × 157,464,356.30
  4. Step 4: Simplify right side
    157,464,356.30x = 37,125,588,845,478,888
  5. Step 5: Solve for x
    x = 37,125,588,845,478,888/157,464,356.30
  6. Step 6: Final answer
    x = 235,771,381.65

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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.