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Finding the Fourth Proportional to 46,368,289,300.80, 69,552,433,951.20 and 46,368,289,300.80

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Solution

The fourth proportional to 46,368,289,300.80, 69,552,433,951.20 and 46,368,289,300.80 is: 69,552,433,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,368,289,300.80 : 69,552,433,951.20 = 46,368,289,300.80 : x
  2. Step 2: Convert to fraction form
    46,368,289,300.80/69,552,433,951.20 = 46,368,289,300.80/x
  3. Step 3: Cross multiply
    46,368,289,300.80x = 69,552,433,951.20 × 46,368,289,300.80
  4. Step 4: Simplify right side
    46,368,289,300.80x = 3,225,027,379,024,025,878,528
  5. Step 5: Solve for x
    x = 3,225,027,379,024,025,878,528/46,368,289,300.80
  6. Step 6: Final answer
    x = 69,552,433,951.20

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Double scale
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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.