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Finding the Fourth Proportional to 580,675,642,808.40, 871,013,464,212.60 and 580,675,642,808.40

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Solution

The fourth proportional to 580,675,642,808.40, 871,013,464,212.60 and 580,675,642,808.40 is: 871,013,464,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,675,642,808.40 : 871,013,464,212.60 = 580,675,642,808.40 : x
  2. Step 2: Convert to fraction form
    580,675,642,808.40/871,013,464,212.60 = 580,675,642,808.40/x
  3. Step 3: Cross multiply
    580,675,642,808.40x = 871,013,464,212.60 × 580,675,642,808.40
  4. Step 4: Simplify right side
    580,675,642,808.40x = 505,776,303,226,422,829,252,608
  5. Step 5: Solve for x
    x = 505,776,303,226,422,829,252,608/580,675,642,808.40
  6. Step 6: Final answer
    x = 871,013,464,212.60

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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.