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Finding the Fourth Proportional to 511,411,358.94, 705,939,598.04 and 335,210,709.34

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Solution

The fourth proportional to 511,411,358.94, 705,939,598.04 and 335,210,709.34 is: 462,716,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,411,358.94 : 705,939,598.04 = 335,210,709.34 : x
  2. Step 2: Convert to fraction form
    511,411,358.94/705,939,598.04 = 335,210,709.34/x
  3. Step 3: Cross multiply
    511,411,358.94x = 705,939,598.04 × 335,210,709.34
  4. Step 4: Simplify right side
    511,411,358.94x = 236,638,513,410,182,848
  5. Step 5: Solve for x
    x = 236,638,513,410,182,848/511,411,358.94
  6. Step 6: Final answer
    x = 462,716,576.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.