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Finding the Fourth Proportional to 660,096,345.60, 990,144,518.40 and 660,096,345.60

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Solution

The fourth proportional to 660,096,345.60, 990,144,518.40 and 660,096,345.60 is: 990,144,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,096,345.60 : 990,144,518.40 = 660,096,345.60 : x
  2. Step 2: Convert to fraction form
    660,096,345.60/990,144,518.40 = 660,096,345.60/x
  3. Step 3: Cross multiply
    660,096,345.60x = 990,144,518.40 × 660,096,345.60
  4. Step 4: Simplify right side
    660,096,345.60x = 653,590,778,211,712,000
  5. Step 5: Solve for x
    x = 653,590,778,211,712,000/660,096,345.60
  6. Step 6: Final answer
    x = 990,144,518.40

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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.