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Finding the Fourth Proportional to 390,071,302,215.70, 585,106,953,323.55 and 390,071,302,215.70

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Solution

The fourth proportional to 390,071,302,215.70, 585,106,953,323.55 and 390,071,302,215.70 is: 585,106,953,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,071,302,215.70 : 585,106,953,323.55 = 390,071,302,215.70 : x
  2. Step 2: Convert to fraction form
    390,071,302,215.70/585,106,953,323.55 = 390,071,302,215.70/x
  3. Step 3: Cross multiply
    390,071,302,215.70x = 585,106,953,323.55 × 390,071,302,215.70
  4. Step 4: Simplify right side
    390,071,302,215.70x = 228,233,431,218,377,969,369,088
  5. Step 5: Solve for x
    x = 228,233,431,218,377,969,369,088/390,071,302,215.70
  6. Step 6: Final answer
    x = 585,106,953,323.55

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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.