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Finding the Fourth Proportional to 10,339,716,235,412, 15,509,574,353,127 and 10,339,716,235,412

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Solution

The fourth proportional to 10,339,716,235,412, 15,509,574,353,127 and 10,339,716,235,412 is: 15,509,574,353,127

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339,716,235,412 : 15,509,574,353,127 = 10,339,716,235,412 : x
  2. Step 2: Convert to fraction form
    10,339,716,235,412/15,509,574,353,127 = 10,339,716,235,412/x
  3. Step 3: Cross multiply
    10,339,716,235,412x = 15,509,574,353,127 × 10,339,716,235,412
  4. Step 4: Simplify right side
    10,339,716,235,412x = 160,364,597,743,356,814,007,730,176
  5. Step 5: Solve for x
    x = 160,364,597,743,356,814,007,730,176/10,339,716,235,412
  6. Step 6: Final answer
    x = 15,509,574,353,127

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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.