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Finding the Fourth Proportional to 602,606,809.82, 831,551,486.64 and 338,237,726.82

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Solution

The fourth proportional to 602,606,809.82, 831,551,486.64 and 338,237,726.82 is: 466,742,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,606,809.82 : 831,551,486.64 = 338,237,726.82 : x
  2. Step 2: Convert to fraction form
    602,606,809.82/831,551,486.64 = 338,237,726.82/x
  3. Step 3: Cross multiply
    602,606,809.82x = 831,551,486.64 × 338,237,726.82
  4. Step 4: Simplify right side
    602,606,809.82x = 281,262,084,574,905,184
  5. Step 5: Solve for x
    x = 281,262,084,574,905,184/602,606,809.82
  6. Step 6: Final answer
    x = 466,742,293.63

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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.