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Finding the Fourth Proportional to 786,578,971,573.90, 1,179,868,457,360.90 and 786,578,971,573.90

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Solution

The fourth proportional to 786,578,971,573.90, 1,179,868,457,360.90 and 786,578,971,573.90 is: 1,179,868,457,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,578,971,573.90 : 1,179,868,457,360.90 = 786,578,971,573.90 : x
  2. Step 2: Convert to fraction form
    786,578,971,573.90/1,179,868,457,360.90 = 786,578,971,573.90/x
  3. Step 3: Cross multiply
    786,578,971,573.90x = 1,179,868,457,360.90 × 786,578,971,573.90
  4. Step 4: Simplify right side
    786,578,971,573.90x = 928,059,717,783,420,556,804,096
  5. Step 5: Solve for x
    x = 928,059,717,783,420,556,804,096/786,578,971,573.90
  6. Step 6: Final answer
    x = 1,179,868,457,360.90

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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.