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Finding the Fourth Proportional to 136,328,833,313.60, 204,493,249,970.40 and 136,328,833,313.60

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Solution

The fourth proportional to 136,328,833,313.60, 204,493,249,970.40 and 136,328,833,313.60 is: 204,493,249,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,328,833,313.60 : 204,493,249,970.40 = 136,328,833,313.60 : x
  2. Step 2: Convert to fraction form
    136,328,833,313.60/204,493,249,970.40 = 136,328,833,313.60/x
  3. Step 3: Cross multiply
    136,328,833,313.60x = 204,493,249,970.40 × 136,328,833,313.60
  4. Step 4: Simplify right side
    136,328,833,313.60x = 27,878,326,188,971,000,856,576
  5. Step 5: Solve for x
    x = 27,878,326,188,971,000,856,576/136,328,833,313.60
  6. Step 6: Final answer
    x = 204,493,249,970.40

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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.