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Finding the Fourth Proportional to 6,869,166,869.70, 10,303,750,304.55 and 6,869,166,869.70

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Solution

The fourth proportional to 6,869,166,869.70, 10,303,750,304.55 and 6,869,166,869.70 is: 10,303,750,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869,166,869.70 : 10,303,750,304.55 = 6,869,166,869.70 : x
  2. Step 2: Convert to fraction form
    6,869,166,869.70/10,303,750,304.55 = 6,869,166,869.70/x
  3. Step 3: Cross multiply
    6,869,166,869.70x = 10,303,750,304.55 × 6,869,166,869.70
  4. Step 4: Simplify right side
    6,869,166,869.70x = 70,778,180,225,676,140,544
  5. Step 5: Solve for x
    x = 70,778,180,225,676,140,544/6,869,166,869.70
  6. Step 6: Final answer
    x = 10,303,750,304.55

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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.