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Finding the Fourth Proportional to 507,280,185,461.70, 760,920,278,192.55 and 507,280,185,461.70

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Solution

The fourth proportional to 507,280,185,461.70, 760,920,278,192.55 and 507,280,185,461.70 is: 760,920,278,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,280,185,461.70 : 760,920,278,192.55 = 507,280,185,461.70 : x
  2. Step 2: Convert to fraction form
    507,280,185,461.70/760,920,278,192.55 = 507,280,185,461.70/x
  3. Step 3: Cross multiply
    507,280,185,461.70x = 760,920,278,192.55 × 507,280,185,461.70
  4. Step 4: Simplify right side
    507,280,185,461.70x = 385,999,779,843,085,137,084,416
  5. Step 5: Solve for x
    x = 385,999,779,843,085,137,084,416/507,280,185,461.70
  6. Step 6: Final answer
    x = 760,920,278,192.55

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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.