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Finding the Fourth Proportional to 366,571,849,641.10, 549,857,774,461.65 and 366,571,849,641.10

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Solution

The fourth proportional to 366,571,849,641.10, 549,857,774,461.65 and 366,571,849,641.10 is: 549,857,774,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,571,849,641.10 : 549,857,774,461.65 = 366,571,849,641.10 : x
  2. Step 2: Convert to fraction form
    366,571,849,641.10/549,857,774,461.65 = 366,571,849,641.10/x
  3. Step 3: Cross multiply
    366,571,849,641.10x = 549,857,774,461.65 × 366,571,849,641.10
  4. Step 4: Simplify right side
    366,571,849,641.10x = 201,562,381,423,945,843,736,576
  5. Step 5: Solve for x
    x = 201,562,381,423,945,843,736,576/366,571,849,641.10
  6. Step 6: Final answer
    x = 549,857,774,461.65

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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.