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Finding the Fourth Proportional to 808,648,001.60, 1,212,972,002.40 and 776,903,259.20

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Solution

The fourth proportional to 808,648,001.60, 1,212,972,002.40 and 776,903,259.20 is: 1,165,354,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,648,001.60 : 1,212,972,002.40 = 776,903,259.20 : x
  2. Step 2: Convert to fraction form
    808,648,001.60/1,212,972,002.40 = 776,903,259.20/x
  3. Step 3: Cross multiply
    808,648,001.60x = 1,212,972,002.40 × 776,903,259.20
  4. Step 4: Simplify right side
    808,648,001.60x = 942,361,901,982,910,336
  5. Step 5: Solve for x
    x = 942,361,901,982,910,336/808,648,001.60
  6. Step 6: Final answer
    x = 1,165,354,888.80

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1.5x scale

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.