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Finding the Fourth Proportional to 231,056,064,010.30, 346,033,097,986.65 and 231,056,064,010.30

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Solution

The fourth proportional to 231,056,064,010.30, 346,033,097,986.65 and 231,056,064,010.30 is: 346,033,097,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,056,064,010.30 : 346,033,097,986.65 = 231,056,064,010.30 : x
  2. Step 2: Convert to fraction form
    231,056,064,010.30/346,033,097,986.65 = 231,056,064,010.30/x
  3. Step 3: Cross multiply
    231,056,064,010.30x = 346,033,097,986.65 × 231,056,064,010.30
  4. Step 4: Simplify right side
    231,056,064,010.30x = 79,953,045,638,085,817,139,200
  5. Step 5: Solve for x
    x = 79,953,045,638,085,817,139,200/231,056,064,010.30
  6. Step 6: Final answer
    x = 346,033,097,986.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.