Finding the Fourth Proportional to 2,270,867,653,874.70, 3,406,310,214,777 and 549,813,125,615.46
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Solution
The fourth proportional to 2,270,867,653,874.70, 3,406,310,214,777 and 549,813,125,615.46 is: 824,721,803,054.82
Step by Step Solution
- Step 1: Write the proportion equation
2,270,867,653,874.70 : 3,406,310,214,777 = 549,813,125,615.46 : x - Step 2: Convert to fraction form
2,270,867,653,874.70/3,406,310,214,777 = 549,813,125,615.46/x - Step 3: Cross multiply
2,270,867,653,874.70x = 3,406,310,214,777 × 549,813,125,615.46 - Step 4: Simplify right side
2,270,867,653,874.70x = 1,872,834,066,002,411,071,209,472 - Step 5: Solve for x
x = 1,872,834,066,002,411,071,209,472/2,270,867,653,874.70 - Step 6: Final answer
x = 824,721,803,054.82
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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.