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Finding the Fourth Proportional to 448,506,205.20, 672,759,307.80 and 448,506,205.20

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Solution

The fourth proportional to 448,506,205.20, 672,759,307.80 and 448,506,205.20 is: 672,759,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,506,205.20 : 672,759,307.80 = 448,506,205.20 : x
  2. Step 2: Convert to fraction form
    448,506,205.20/672,759,307.80 = 448,506,205.20/x
  3. Step 3: Cross multiply
    448,506,205.20x = 672,759,307.80 × 448,506,205.20
  4. Step 4: Simplify right side
    448,506,205.20x = 301,736,724,154,356,736
  5. Step 5: Solve for x
    x = 301,736,724,154,356,736/448,506,205.20
  6. Step 6: Final answer
    x = 672,759,307.80

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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.