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Finding the Fourth Proportional to 10,339,716,235,438, 15,509,574,353,154 and 10,339,716,235,438

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Solution

The fourth proportional to 10,339,716,235,438, 15,509,574,353,154 and 10,339,716,235,438 is: 15,509,574,353,154

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339,716,235,438 : 15,509,574,353,154 = 10,339,716,235,438 : x
  2. Step 2: Convert to fraction form
    10,339,716,235,438/15,509,574,353,154 = 10,339,716,235,438/x
  3. Step 3: Cross multiply
    10,339,716,235,438x = 15,509,574,353,154 × 10,339,716,235,438
  4. Step 4: Simplify right side
    10,339,716,235,438x = 160,364,597,744,039,232,771,457,024
  5. Step 5: Solve for x
    x = 160,364,597,744,039,232,771,457,024/10,339,716,235,438
  6. Step 6: Final answer
    x = 15,509,574,353,154

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1.5x scale

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.