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Finding the Fourth Proportional to 364,048,031.10, 546,072,046.65 and 364,048,031.10

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Solution

The fourth proportional to 364,048,031.10, 546,072,046.65 and 364,048,031.10 is: 546,072,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,048,031.10 : 546,072,046.65 = 364,048,031.10 : x
  2. Step 2: Convert to fraction form
    364,048,031.10/546,072,046.65 = 364,048,031.10/x
  3. Step 3: Cross multiply
    364,048,031.10x = 546,072,046.65 × 364,048,031.10
  4. Step 4: Simplify right side
    364,048,031.10x = 198,796,453,421,679,840
  5. Step 5: Solve for x
    x = 198,796,453,421,679,840/364,048,031.10
  6. Step 6: Final answer
    x = 546,072,046.65

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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.