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Finding the Fourth Proportional to 570,822,957.60, 856,236,032.58 and 177,407,311.51

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Solution

The fourth proportional to 570,822,957.60, 856,236,032.58 and 177,407,311.51 is: 266,111,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,822,957.60 : 856,236,032.58 = 177,407,311.51 : x
  2. Step 2: Convert to fraction form
    570,822,957.60/856,236,032.58 = 177,407,311.51/x
  3. Step 3: Cross multiply
    570,822,957.60x = 856,236,032.58 × 177,407,311.51
  4. Step 4: Simplify right side
    570,822,957.60x = 151,902,532,558,006,560
  5. Step 5: Solve for x
    x = 151,902,532,558,006,560/570,822,957.60
  6. Step 6: Final answer
    x = 266,111,463.35

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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.