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Finding the Fourth Proportional to 565,319,386.40, 847,349,223.60 and 220,158,298.40

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Solution

The fourth proportional to 565,319,386.40, 847,349,223.60 and 220,158,298.40 is: 329,992,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,319,386.40 : 847,349,223.60 = 220,158,298.40 : x
  2. Step 2: Convert to fraction form
    565,319,386.40/847,349,223.60 = 220,158,298.40/x
  3. Step 3: Cross multiply
    565,319,386.40x = 847,349,223.60 × 220,158,298.40
  4. Step 4: Simplify right side
    565,319,386.40x = 186,550,963,218,337,120
  5. Step 5: Solve for x
    x = 186,550,963,218,337,120/565,319,386.40
  6. Step 6: Final answer
    x = 329,992,156.13

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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.