Finding the Fourth Proportional to 2,270,867,653,875.80, 3,406,310,214,778.40 and 549,813,125,616.44
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Solution
The fourth proportional to 2,270,867,653,875.80, 3,406,310,214,778.40 and 549,813,125,616.44 is: 824,721,803,056.23
Step by Step Solution
- Step 1: Write the proportion equation
2,270,867,653,875.80 : 3,406,310,214,778.40 = 549,813,125,616.44 : x - Step 2: Convert to fraction form
2,270,867,653,875.80/3,406,310,214,778.40 = 549,813,125,616.44/x - Step 3: Cross multiply
2,270,867,653,875.80x = 3,406,310,214,778.40 × 549,813,125,616.44 - Step 4: Simplify right side
2,270,867,653,875.80x = 1,872,834,066,006,518,938,992,640 - Step 5: Solve for x
x = 1,872,834,066,006,518,938,992,640/2,270,867,653,875.80 - Step 6: Final answer
x = 824,721,803,056.23
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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.