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Finding the Fourth Proportional to 976,896,427.60, 1,371,282,969.20 and 976,896,427.60

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Solution

The fourth proportional to 976,896,427.60, 1,371,282,969.20 and 976,896,427.60 is: 1,371,282,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,896,427.60 : 1,371,282,969.20 = 976,896,427.60 : x
  2. Step 2: Convert to fraction form
    976,896,427.60/1,371,282,969.20 = 976,896,427.60/x
  3. Step 3: Cross multiply
    976,896,427.60x = 1,371,282,969.20 × 976,896,427.60
  4. Step 4: Simplify right side
    976,896,427.60x = 1,339,601,433,840,200,960
  5. Step 5: Solve for x
    x = 1,339,601,433,840,200,960/976,896,427.60
  6. Step 6: Final answer
    x = 1,371,282,969.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.