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Finding the Fourth Proportional to 517,824,155.70, 776,736,233.55 and 470,048,411.70

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Solution

The fourth proportional to 517,824,155.70, 776,736,233.55 and 470,048,411.70 is: 705,072,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,824,155.70 : 776,736,233.55 = 470,048,411.70 : x
  2. Step 2: Convert to fraction form
    517,824,155.70/776,736,233.55 = 470,048,411.70/x
  3. Step 3: Cross multiply
    517,824,155.70x = 776,736,233.55 × 470,048,411.70
  4. Step 4: Simplify right side
    517,824,155.70x = 365,103,632,890,017,728
  5. Step 5: Solve for x
    x = 365,103,632,890,017,728/517,824,155.70
  6. Step 6: Final answer
    x = 705,072,617.55

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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.