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Finding the Fourth Proportional to 20,868,202,319.40, 31,302,303,479.10 and 20,868,202,319.40

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Solution

The fourth proportional to 20,868,202,319.40, 31,302,303,479.10 and 20,868,202,319.40 is: 31,302,303,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,868,202,319.40 : 31,302,303,479.10 = 20,868,202,319.40 : x
  2. Step 2: Convert to fraction form
    20,868,202,319.40/31,302,303,479.10 = 20,868,202,319.40/x
  3. Step 3: Cross multiply
    20,868,202,319.40x = 31,302,303,479.10 × 20,868,202,319.40
  4. Step 4: Simplify right side
    20,868,202,319.40x = 653,222,802,065,117,282,304
  5. Step 5: Solve for x
    x = 653,222,802,065,117,282,304/20,868,202,319.40
  6. Step 6: Final answer
    x = 31,302,303,479.10

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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.