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Finding the Fourth Proportional to 365,547,744,007.40, 547,289,659,940.70 and 365,547,744,007.40

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Solution

The fourth proportional to 365,547,744,007.40, 547,289,659,940.70 and 365,547,744,007.40 is: 547,289,659,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,547,744,007.40 : 547,289,659,940.70 = 365,547,744,007.40 : x
  2. Step 2: Convert to fraction form
    365,547,744,007.40/547,289,659,940.70 = 365,547,744,007.40/x
  3. Step 3: Cross multiply
    365,547,744,007.40x = 547,289,659,940.70 × 365,547,744,007.40
  4. Step 4: Simplify right side
    365,547,744,007.40x = 200,060,500,509,900,025,102,336
  5. Step 5: Solve for x
    x = 200,060,500,509,900,025,102,336/365,547,744,007.40
  6. Step 6: Final answer
    x = 547,289,659,940.70

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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.