Home / 511,788,354,812.20-706,290,130,650.95-283,417,596,798.12

Finding the Fourth Proportional to 511,788,354,812.20, 706,290,130,650.95 and 283,417,596,798.12

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Solution

The fourth proportional to 511,788,354,812.20, 706,290,130,650.95 and 283,417,596,798.12 is: 391,128,578,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,788,354,812.20 : 706,290,130,650.95 = 283,417,596,798.12 : x
  2. Step 2: Convert to fraction form
    511,788,354,812.20/706,290,130,650.95 = 283,417,596,798.12/x
  3. Step 3: Cross multiply
    511,788,354,812.20x = 706,290,130,650.95 × 283,417,596,798.12
  4. Step 4: Simplify right side
    511,788,354,812.20x = 200,175,051,471,322,431,356,928
  5. Step 5: Solve for x
    x = 200,175,051,471,322,431,356,928/511,788,354,812.20
  6. Step 6: Final answer
    x = 391,128,578,032.57

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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.