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Finding the Fourth Proportional to 564,874,178.76, 779,506,484.67 and 310,553,683.74

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Solution

The fourth proportional to 564,874,178.76, 779,506,484.67 and 310,553,683.74 is: 428,553,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,874,178.76 : 779,506,484.67 = 310,553,683.74 : x
  2. Step 2: Convert to fraction form
    564,874,178.76/779,506,484.67 = 310,553,683.74/x
  3. Step 3: Cross multiply
    564,874,178.76x = 779,506,484.67 × 310,553,683.74
  4. Step 4: Simplify right side
    564,874,178.76x = 242,078,610,313,486,336
  5. Step 5: Solve for x
    x = 242,078,610,313,486,336/564,874,178.76
  6. Step 6: Final answer
    x = 428,553,152.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.