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Finding the Fourth Proportional to 586,807,217.40, 880,210,826.10 and 564,132,401.40

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Solution

The fourth proportional to 586,807,217.40, 880,210,826.10 and 564,132,401.40 is: 846,198,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,807,217.40 : 880,210,826.10 = 564,132,401.40 : x
  2. Step 2: Convert to fraction form
    586,807,217.40/880,210,826.10 = 564,132,401.40/x
  3. Step 3: Cross multiply
    586,807,217.40x = 880,210,826.10 × 564,132,401.40
  4. Step 4: Simplify right side
    586,807,217.40x = 496,555,447,066,070,784
  5. Step 5: Solve for x
    x = 496,555,447,066,070,784/586,807,217.40
  6. Step 6: Final answer
    x = 846,198,602.10

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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.