Finding the Fourth Proportional to 778,286,868,567.84, 1,167,606,340,051.30 and 420,131,155,160.88
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Solution
The fourth proportional to 778,286,868,567.84, 1,167,606,340,051.30 and 420,131,155,160.88 is: 630,291,760,314.03
Step by Step Solution
- Step 1: Write the proportion equation
778,286,868,567.84 : 1,167,606,340,051.30 = 420,131,155,160.88 : x - Step 2: Convert to fraction form
778,286,868,567.84/1,167,606,340,051.30 = 420,131,155,160.88/x - Step 3: Cross multiply
778,286,868,567.84x = 1,167,606,340,051.30 × 420,131,155,160.88 - Step 4: Simplify right side
778,286,868,567.84x = 490,547,800,418,919,949,271,040 - Step 5: Solve for x
x = 490,547,800,418,919,949,271,040/778,286,868,567.84 - Step 6: Final answer
x = 630,291,760,314.03
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.