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Finding the Fourth Proportional to 231,056,064,009.30, 346,033,097,985.15 and 231,056,064,009.30

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Solution

The fourth proportional to 231,056,064,009.30, 346,033,097,985.15 and 231,056,064,009.30 is: 346,033,097,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,056,064,009.30 : 346,033,097,985.15 = 231,056,064,009.30 : x
  2. Step 2: Convert to fraction form
    231,056,064,009.30/346,033,097,985.15 = 231,056,064,009.30/x
  3. Step 3: Cross multiply
    231,056,064,009.30x = 346,033,097,985.15 × 231,056,064,009.30
  4. Step 4: Simplify right side
    231,056,064,009.30x = 79,953,045,637,393,203,331,072
  5. Step 5: Solve for x
    x = 79,953,045,637,393,203,331,072/231,056,064,009.30
  6. Step 6: Final answer
    x = 346,033,097,985.15

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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.