Finding the Fourth Proportional to 5,400,212,483,266, 7,452,298,742,275.80 and 2,931,023,864,531.40
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Solution
The fourth proportional to 5,400,212,483,266, 7,452,298,742,275.80 and 2,931,023,864,531.40 is: 4,044,815,926,579.49
Step by Step Solution
- Step 1: Write the proportion equation
5,400,212,483,266 : 7,452,298,742,275.80 = 2,931,023,864,531.40 : x - Step 2: Convert to fraction form
5,400,212,483,266/7,452,298,742,275.80 = 2,931,023,864,531.40/x - Step 3: Cross multiply
5,400,212,483,266x = 7,452,298,742,275.80 × 2,931,023,864,531.40 - Step 4: Simplify right side
5,400,212,483,266x = 21,842,865,459,227,704,267,112,448 - Step 5: Solve for x
x = 21,842,865,459,227,704,267,112,448/5,400,212,483,266 - Step 6: Final answer
x = 4,044,815,926,579.49
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.