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Finding the Fourth Proportional to 245,225,421,036.45, 367,838,131,554.68 and 245,225,421,036.45

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Solution

The fourth proportional to 245,225,421,036.45, 367,838,131,554.68 and 245,225,421,036.45 is: 367,838,131,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,225,421,036.45 : 367,838,131,554.68 = 245,225,421,036.45 : x
  2. Step 2: Convert to fraction form
    245,225,421,036.45/367,838,131,554.68 = 245,225,421,036.45/x
  3. Step 3: Cross multiply
    245,225,421,036.45x = 367,838,131,554.68 × 245,225,421,036.45
  4. Step 4: Simplify right side
    245,225,421,036.45x = 90,203,260,683,757,482,409,984
  5. Step 5: Solve for x
    x = 90,203,260,683,757,482,409,984/245,225,421,036.45
  6. Step 6: Final answer
    x = 367,838,131,554.68

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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.