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Finding the Fourth Proportional to 602,948,412.32, 832,112,978.64 and 338,646,068.96

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Solution

The fourth proportional to 602,948,412.32, 832,112,978.64 and 338,646,068.96 is: 467,356,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,948,412.32 : 832,112,978.64 = 338,646,068.96 : x
  2. Step 2: Convert to fraction form
    602,948,412.32/832,112,978.64 = 338,646,068.96/x
  3. Step 3: Cross multiply
    602,948,412.32x = 832,112,978.64 × 338,646,068.96
  4. Step 4: Simplify right side
    602,948,412.32x = 281,791,789,147,032,416
  5. Step 5: Solve for x
    x = 281,791,789,147,032,416/602,948,412.32
  6. Step 6: Final answer
    x = 467,356,383.05

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Why These Related Problems?

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