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Finding the Fourth Proportional to 407,130,668.70, 610,696,003.05 and 407,130,668.70

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Solution

The fourth proportional to 407,130,668.70, 610,696,003.05 and 407,130,668.70 is: 610,696,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,130,668.70 : 610,696,003.05 = 407,130,668.70 : x
  2. Step 2: Convert to fraction form
    407,130,668.70/610,696,003.05 = 407,130,668.70/x
  3. Step 3: Cross multiply
    407,130,668.70x = 610,696,003.05 × 407,130,668.70
  4. Step 4: Simplify right side
    407,130,668.70x = 248,633,072,094,163,712
  5. Step 5: Solve for x
    x = 248,633,072,094,163,712/407,130,668.70
  6. Step 6: Final answer
    x = 610,696,003.05

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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.