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Finding the Fourth Proportional to 186,681,650.40, 260,749,648.80 and 186,681,650.40

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Solution

The fourth proportional to 186,681,650.40, 260,749,648.80 and 186,681,650.40 is: 260,749,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,681,650.40 : 260,749,648.80 = 186,681,650.40 : x
  2. Step 2: Convert to fraction form
    186,681,650.40/260,749,648.80 = 186,681,650.40/x
  3. Step 3: Cross multiply
    186,681,650.40x = 260,749,648.80 × 186,681,650.40
  4. Step 4: Simplify right side
    186,681,650.40x = 48,677,174,779,204,384
  5. Step 5: Solve for x
    x = 48,677,174,779,204,384/186,681,650.40
  6. Step 6: Final answer
    x = 260,749,648.80

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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.