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Finding the Fourth Proportional to 298,935,602.60, 448,403,403.90 and 161,186,095.40

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Solution

The fourth proportional to 298,935,602.60, 448,403,403.90 and 161,186,095.40 is: 241,779,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,935,602.60 : 448,403,403.90 = 161,186,095.40 : x
  2. Step 2: Convert to fraction form
    298,935,602.60/448,403,403.90 = 161,186,095.40/x
  3. Step 3: Cross multiply
    298,935,602.60x = 448,403,403.90 × 161,186,095.40
  4. Step 4: Simplify right side
    298,935,602.60x = 72,276,393,838,710,128
  5. Step 5: Solve for x
    x = 72,276,393,838,710,128/298,935,602.60
  6. Step 6: Final answer
    x = 241,779,143.10

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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.