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Finding the Fourth Proportional to 586,602,003.40, 879,903,005.10 and 314,504,211.40

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Solution

The fourth proportional to 586,602,003.40, 879,903,005.10 and 314,504,211.40 is: 471,756,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,602,003.40 : 879,903,005.10 = 314,504,211.40 : x
  2. Step 2: Convert to fraction form
    586,602,003.40/879,903,005.10 = 314,504,211.40/x
  3. Step 3: Cross multiply
    586,602,003.40x = 879,903,005.10 × 314,504,211.40
  4. Step 4: Simplify right side
    586,602,003.40x = 276,733,200,727,465,664
  5. Step 5: Solve for x
    x = 276,733,200,727,465,664/586,602,003.40
  6. Step 6: Final answer
    x = 471,756,317.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.