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Finding the Fourth Proportional to 364,048,009.35, 546,072,014.03 and 364,048,009.35

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Solution

The fourth proportional to 364,048,009.35, 546,072,014.03 and 364,048,009.35 is: 546,072,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,048,009.35 : 546,072,014.03 = 364,048,009.35 : x
  2. Step 2: Convert to fraction form
    364,048,009.35/546,072,014.03 = 364,048,009.35/x
  3. Step 3: Cross multiply
    364,048,009.35x = 546,072,014.03 × 364,048,009.35
  4. Step 4: Simplify right side
    364,048,009.35x = 198,796,429,669,366,784
  5. Step 5: Solve for x
    x = 198,796,429,669,366,784/364,048,009.35
  6. Step 6: Final answer
    x = 546,072,014.03

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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.