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Finding the Fourth Proportional to 12,030,074,367,097, 18,045,111,550,646 and 12,030,074,367,097

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Solution

The fourth proportional to 12,030,074,367,097, 18,045,111,550,646 and 12,030,074,367,097 is: 18,045,111,550,646

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030,074,367,097 : 18,045,111,550,646 = 12,030,074,367,097 : x
  2. Step 2: Convert to fraction form
    12,030,074,367,097/18,045,111,550,646 = 12,030,074,367,097/x
  3. Step 3: Cross multiply
    12,030,074,367,097x = 18,045,111,550,646 × 12,030,074,367,097
  4. Step 4: Simplify right side
    12,030,074,367,097x = 217,084,033,916,832,430,434,549,760
  5. Step 5: Solve for x
    x = 217,084,033,916,832,430,434,549,760/12,030,074,367,097
  6. Step 6: Final answer
    x = 18,045,111,550,646

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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.