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Finding the Fourth Proportional to 307,095,564, 460,643,346 and 102,623,639.25

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Solution

The fourth proportional to 307,095,564, 460,643,346 and 102,623,639.25 is: 153,935,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,095,564 : 460,643,346 = 102,623,639.25 : x
  2. Step 2: Convert to fraction form
    307,095,564/460,643,346 = 102,623,639.25/x
  3. Step 3: Cross multiply
    307,095,564x = 460,643,346 × 102,623,639.25
  4. Step 4: Simplify right side
    307,095,564x = 47,272,896,562,816,928
  5. Step 5: Solve for x
    x = 47,272,896,562,816,928/307,095,564
  6. Step 6: Final answer
    x = 153,935,458.88

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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.