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Finding the Fourth Proportional to 553,309,201.80, 829,963,802.70 and 144,365,352.30

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Solution

The fourth proportional to 553,309,201.80, 829,963,802.70 and 144,365,352.30 is: 216,548,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,309,201.80 : 829,963,802.70 = 144,365,352.30 : x
  2. Step 2: Convert to fraction form
    553,309,201.80/829,963,802.70 = 144,365,352.30/x
  3. Step 3: Cross multiply
    553,309,201.80x = 829,963,802.70 × 144,365,352.30
  4. Step 4: Simplify right side
    553,309,201.80x = 119,818,016,773,033,200
  5. Step 5: Solve for x
    x = 119,818,016,773,033,200/553,309,201.80
  6. Step 6: Final answer
    x = 216,548,028.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.