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Finding the Fourth Proportional to 309,053,443,670.80, 463,580,165,506.20 and 309,053,443,670.80

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Solution

The fourth proportional to 309,053,443,670.80, 463,580,165,506.20 and 309,053,443,670.80 is: 463,580,165,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,053,443,670.80 : 463,580,165,506.20 = 309,053,443,670.80 : x
  2. Step 2: Convert to fraction form
    309,053,443,670.80/463,580,165,506.20 = 309,053,443,670.80/x
  3. Step 3: Cross multiply
    309,053,443,670.80x = 463,580,165,506.20 × 309,053,443,670.80
  4. Step 4: Simplify right side
    309,053,443,670.80x = 143,271,046,567,170,515,402,752
  5. Step 5: Solve for x
    x = 143,271,046,567,170,515,402,752/309,053,443,670.80
  6. Step 6: Final answer
    x = 463,580,165,506.20

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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.