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Finding the Fourth Proportional to 459,077,246.65, 688,615,869.98 and 459,077,246.65

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Solution

The fourth proportional to 459,077,246.65, 688,615,869.98 and 459,077,246.65 is: 688,615,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,077,246.65 : 688,615,869.98 = 459,077,246.65 : x
  2. Step 2: Convert to fraction form
    459,077,246.65/688,615,869.98 = 459,077,246.65/x
  3. Step 3: Cross multiply
    459,077,246.65x = 688,615,869.98 × 459,077,246.65
  4. Step 4: Simplify right side
    459,077,246.65x = 316,127,877,587,617,408
  5. Step 5: Solve for x
    x = 316,127,877,587,617,408/459,077,246.65
  6. Step 6: Final answer
    x = 688,615,869.98

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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.