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Finding the Fourth Proportional to 390,071,302,215.20, 585,106,953,322.80 and 390,071,302,215.20

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Solution

The fourth proportional to 390,071,302,215.20, 585,106,953,322.80 and 390,071,302,215.20 is: 585,106,953,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,071,302,215.20 : 585,106,953,322.80 = 390,071,302,215.20 : x
  2. Step 2: Convert to fraction form
    390,071,302,215.20/585,106,953,322.80 = 390,071,302,215.20/x
  3. Step 3: Cross multiply
    390,071,302,215.20x = 585,106,953,322.80 × 390,071,302,215.20
  4. Step 4: Simplify right side
    390,071,302,215.20x = 228,233,431,217,792,880,738,304
  5. Step 5: Solve for x
    x = 228,233,431,217,792,880,738,304/390,071,302,215.20
  6. Step 6: Final answer
    x = 585,106,953,322.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.