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Finding the Fourth Proportional to 149,539,437.30, 209,657,543.10 and 149,539,437.30

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Solution

The fourth proportional to 149,539,437.30, 209,657,543.10 and 149,539,437.30 is: 209,657,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,539,437.30 : 209,657,543.10 = 149,539,437.30 : x
  2. Step 2: Convert to fraction form
    149,539,437.30/209,657,543.10 = 149,539,437.30/x
  3. Step 3: Cross multiply
    149,539,437.30x = 209,657,543.10 × 149,539,437.30
  4. Step 4: Simplify right side
    149,539,437.30x = 31,352,071,020,874,500
  5. Step 5: Solve for x
    x = 31,352,071,020,874,500/149,539,437.30
  6. Step 6: Final answer
    x = 209,657,543.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.