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Finding the Fourth Proportional to 906,594,482.76, 1,360,169,256.76 and 464,250,358.68

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Solution

The fourth proportional to 906,594,482.76, 1,360,169,256.76 and 464,250,358.68 is: 696,517,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,594,482.76 : 1,360,169,256.76 = 464,250,358.68 : x
  2. Step 2: Convert to fraction form
    906,594,482.76/1,360,169,256.76 = 464,250,358.68/x
  3. Step 3: Cross multiply
    906,594,482.76x = 1,360,169,256.76 × 464,250,358.68
  4. Step 4: Simplify right side
    906,594,482.76x = 631,459,065,316,339,072
  5. Step 5: Solve for x
    x = 631,459,065,316,339,072/906,594,482.76
  6. Step 6: Final answer
    x = 696,517,657.37

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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.