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Finding the Fourth Proportional to 873,702,774.90, 1,205,702,664 and 477,226,017.30

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Solution

The fourth proportional to 873,702,774.90, 1,205,702,664 and 477,226,017.30 is: 658,567,990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,702,774.90 : 1,205,702,664 = 477,226,017.30 : x
  2. Step 2: Convert to fraction form
    873,702,774.90/1,205,702,664 = 477,226,017.30/x
  3. Step 3: Cross multiply
    873,702,774.90x = 1,205,702,664 × 477,226,017.30
  4. Step 4: Simplify right side
    873,702,774.90x = 575,392,680,388,720,128
  5. Step 5: Solve for x
    x = 575,392,680,388,720,128/873,702,774.90
  6. Step 6: Final answer
    x = 658,567,990.07

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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.