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Finding the Fourth Proportional to 10,902,006,075.70, 16,353,009,113.55 and 10,902,006,075.70

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Solution

The fourth proportional to 10,902,006,075.70, 16,353,009,113.55 and 10,902,006,075.70 is: 16,353,009,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902,006,075.70 : 16,353,009,113.55 = 10,902,006,075.70 : x
  2. Step 2: Convert to fraction form
    10,902,006,075.70/16,353,009,113.55 = 10,902,006,075.70/x
  3. Step 3: Cross multiply
    10,902,006,075.70x = 16,353,009,113.55 × 10,902,006,075.70
  4. Step 4: Simplify right side
    10,902,006,075.70x = 178,280,604,711,899,561,984
  5. Step 5: Solve for x
    x = 178,280,604,711,899,561,984/10,902,006,075.70
  6. Step 6: Final answer
    x = 16,353,009,113.55

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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.