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Finding the Fourth Proportional to 307,544,688,004.65, 461,317,032,006.99 and 307,544,688,004.65

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Solution

The fourth proportional to 307,544,688,004.65, 461,317,032,006.99 and 307,544,688,004.65 is: 461,317,032,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,544,688,004.65 : 461,317,032,006.99 = 307,544,688,004.65 : x
  2. Step 2: Convert to fraction form
    307,544,688,004.65/461,317,032,006.99 = 307,544,688,004.65/x
  3. Step 3: Cross multiply
    307,544,688,004.65x = 461,317,032,006.99 × 307,544,688,004.65
  4. Step 4: Simplify right side
    307,544,688,004.65x = 141,875,602,679,820,883,853,312
  5. Step 5: Solve for x
    x = 141,875,602,679,820,883,853,312/307,544,688,004.65
  6. Step 6: Final answer
    x = 461,317,032,006.99

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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.