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Finding the Fourth Proportional to 334,409,688,712.80, 501,614,533,069.20 and 334,409,688,712.80

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Solution

The fourth proportional to 334,409,688,712.80, 501,614,533,069.20 and 334,409,688,712.80 is: 501,614,533,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,409,688,712.80 : 501,614,533,069.20 = 334,409,688,712.80 : x
  2. Step 2: Convert to fraction form
    334,409,688,712.80/501,614,533,069.20 = 334,409,688,712.80/x
  3. Step 3: Cross multiply
    334,409,688,712.80x = 501,614,533,069.20 × 334,409,688,712.80
  4. Step 4: Simplify right side
    334,409,688,712.80x = 167,744,759,857,487,678,537,728
  5. Step 5: Solve for x
    x = 167,744,759,857,487,678,537,728/334,409,688,712.80
  6. Step 6: Final answer
    x = 501,614,533,069.20

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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.