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Finding the Fourth Proportional to 5,010,484,708,977.70, 7,515,727,063,466.40 and 5,010,484,708,977.70

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Solution

The fourth proportional to 5,010,484,708,977.70, 7,515,727,063,466.40 and 5,010,484,708,977.70 is: 7,515,727,063,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010,484,708,977.70 : 7,515,727,063,466.40 = 5,010,484,708,977.70 : x
  2. Step 2: Convert to fraction form
    5,010,484,708,977.70/7,515,727,063,466.40 = 5,010,484,708,977.70/x
  3. Step 3: Cross multiply
    5,010,484,708,977.70x = 7,515,727,063,466.40 × 5,010,484,708,977.70
  4. Step 4: Simplify right side
    5,010,484,708,977.70x = 37,657,435,528,348,270,745,092,096
  5. Step 5: Solve for x
    x = 37,657,435,528,348,270,745,092,096/5,010,484,708,977.70
  6. Step 6: Final answer
    x = 7,515,727,063,466.40

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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.