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Finding the Fourth Proportional to 307,544,688,027.40, 461,317,032,041.13 and 307,544,688,027.40

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Solution

The fourth proportional to 307,544,688,027.40, 461,317,032,041.13 and 307,544,688,027.40 is: 461,317,032,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,544,688,027.40 : 461,317,032,041.13 = 307,544,688,027.40 : x
  2. Step 2: Convert to fraction form
    307,544,688,027.40/461,317,032,041.13 = 307,544,688,027.40/x
  3. Step 3: Cross multiply
    307,544,688,027.40x = 461,317,032,041.13 × 307,544,688,027.40
  4. Step 4: Simplify right side
    307,544,688,027.40x = 141,875,602,700,815,422,193,664
  5. Step 5: Solve for x
    x = 141,875,602,700,815,422,193,664/307,544,688,027.40
  6. Step 6: Final answer
    x = 461,317,032,041.13

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1.5x scale

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.