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Finding the Fourth Proportional to 5,280,397,776,938.40, 7,920,596,665,407.60 and 5,280,397,776,938.40

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Solution

The fourth proportional to 5,280,397,776,938.40, 7,920,596,665,407.60 and 5,280,397,776,938.40 is: 7,920,596,665,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,397,776,938.40 : 7,920,596,665,407.60 = 5,280,397,776,938.40 : x
  2. Step 2: Convert to fraction form
    5,280,397,776,938.40/7,920,596,665,407.60 = 5,280,397,776,938.40/x
  3. Step 3: Cross multiply
    5,280,397,776,938.40x = 7,920,596,665,407.60 × 5,280,397,776,938.40
  4. Step 4: Simplify right side
    5,280,397,776,938.40x = 41,823,901,024,043,993,032,294,400
  5. Step 5: Solve for x
    x = 41,823,901,024,043,993,032,294,400/5,280,397,776,938.40
  6. Step 6: Final answer
    x = 7,920,596,665,407.60

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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.