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Finding the Fourth Proportional to 413,711,064,200.90, 620,566,596,301.35 and 413,711,064,200.90

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Solution

The fourth proportional to 413,711,064,200.90, 620,566,596,301.35 and 413,711,064,200.90 is: 620,566,596,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,711,064,200.90 : 620,566,596,301.35 = 413,711,064,200.90 : x
  2. Step 2: Convert to fraction form
    413,711,064,200.90/620,566,596,301.35 = 413,711,064,200.90/x
  3. Step 3: Cross multiply
    413,711,064,200.90x = 620,566,596,301.35 × 413,711,064,200.90
  4. Step 4: Simplify right side
    413,711,064,200.90x = 256,735,266,963,361,795,932,160
  5. Step 5: Solve for x
    x = 256,735,266,963,361,795,932,160/413,711,064,200.90
  6. Step 6: Final answer
    x = 620,566,596,301.35

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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.