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Finding the Fourth Proportional to 821,609,973, 1,133,943,458.40 and 520,223,301

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Solution

The fourth proportional to 821,609,973, 1,133,943,458.40 and 520,223,301 is: 717,985,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,609,973 : 1,133,943,458.40 = 520,223,301 : x
  2. Step 2: Convert to fraction form
    821,609,973/1,133,943,458.40 = 520,223,301/x
  3. Step 3: Cross multiply
    821,609,973x = 1,133,943,458.40 × 520,223,301
  4. Step 4: Simplify right side
    821,609,973x = 589,903,809,076,204,288
  5. Step 5: Solve for x
    x = 589,903,809,076,204,288/821,609,973
  6. Step 6: Final answer
    x = 717,985,210.09

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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.